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Finding the Third Proportional to 129,365 and 278,402

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Solution

The third proportional to 129,365 and 278,402 is: 599,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,365 : 278,402 = 278,402 : x
  2. Step 2: Convert to fraction form
    129,365/278,402 = 278,402/x
  3. Step 3: Cross multiply
    129,365x = 278,402 × 278,402
  4. Step 4: Simplify right side
    129,365x = 77,507,673,604
  5. Step 5: Solve for x
    x = 77,507,673,604/129,365
  6. Step 6: Final answer
    x = 599,139.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.