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Finding the Third Proportional to 207,108,558 and 321,575,519.25

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Solution

The third proportional to 207,108,558 and 321,575,519.25 is: 499,307,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,108,558 : 321,575,519.25 = 321,575,519.25 : x
  2. Step 2: Convert to fraction form
    207,108,558/321,575,519.25 = 321,575,519.25/x
  3. Step 3: Cross multiply
    207,108,558x = 321,575,519.25 × 321,575,519.25
  4. Step 4: Simplify right side
    207,108,558x = 103,410,814,580,907,120
  5. Step 5: Solve for x
    x = 103,410,814,580,907,120/207,108,558
  6. Step 6: Final answer
    x = 499,307,298.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.