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Finding the Third Proportional to 129,343,142,055 and 283,069,361,982.75

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Solution

The third proportional to 129,343,142,055 and 283,069,361,982.75 is: 619,501,447,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,343,142,055 : 283,069,361,982.75 = 283,069,361,982.75 : x
  2. Step 2: Convert to fraction form
    129,343,142,055/283,069,361,982.75 = 283,069,361,982.75/x
  3. Step 3: Cross multiply
    129,343,142,055x = 283,069,361,982.75 × 283,069,361,982.75
  4. Step 4: Simplify right side
    129,343,142,055x = 80,128,263,693,321,153,544,192
  5. Step 5: Solve for x
    x = 80,128,263,693,321,153,544,192/129,343,142,055
  6. Step 6: Final answer
    x = 619,501,447,237.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.