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Finding the Third Proportional to 207,399 and 329,777

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Solution

The third proportional to 207,399 and 329,777 is: 524,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,399 : 329,777 = 329,777 : x
  2. Step 2: Convert to fraction form
    207,399/329,777 = 329,777/x
  3. Step 3: Cross multiply
    207,399x = 329,777 × 329,777
  4. Step 4: Simplify right side
    207,399x = 108,752,869,729
  5. Step 5: Solve for x
    x = 108,752,869,729/207,399
  6. Step 6: Final answer
    x = 524,365.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.