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Finding the Third Proportional to 207,402 and 329,781

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Solution

The third proportional to 207,402 and 329,781 is: 524,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,402 : 329,781 = 329,781 : x
  2. Step 2: Convert to fraction form
    207,402/329,781 = 329,781/x
  3. Step 3: Cross multiply
    207,402x = 329,781 × 329,781
  4. Step 4: Simplify right side
    207,402x = 108,755,507,961
  5. Step 5: Solve for x
    x = 108,755,507,961/207,402
  6. Step 6: Final answer
    x = 524,370.58

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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.