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Finding the Third Proportional to 129,711,636 and 283,357,804.50

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Solution

The third proportional to 129,711,636 and 283,357,804.50 is: 619,001,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,711,636 : 283,357,804.50 = 283,357,804.50 : x
  2. Step 2: Convert to fraction form
    129,711,636/283,357,804.50 = 283,357,804.50/x
  3. Step 3: Cross multiply
    129,711,636x = 283,357,804.50 × 283,357,804.50
  4. Step 4: Simplify right side
    129,711,636x = 80,291,645,371,060,224
  5. Step 5: Solve for x
    x = 80,291,645,371,060,224/129,711,636
  6. Step 6: Final answer
    x = 619,001,100.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.