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Finding the Third Proportional to 35,842 and 77,902

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Solution

The third proportional to 35,842 and 77,902 is: 169,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842 : 77,902 = 77,902 : x
  2. Step 2: Convert to fraction form
    35,842/77,902 = 77,902/x
  3. Step 3: Cross multiply
    35,842x = 77,902 × 77,902
  4. Step 4: Simplify right side
    35,842x = 6,068,721,604
  5. Step 5: Solve for x
    x = 6,068,721,604/35,842
  6. Step 6: Final answer
    x = 169,318.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.