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Finding the Third Proportional to 70,705 and 98,902

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Solution

The third proportional to 70,705 and 98,902 is: 138,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705 : 98,902 = 98,902 : x
  2. Step 2: Convert to fraction form
    70,705/98,902 = 98,902/x
  3. Step 3: Cross multiply
    70,705x = 98,902 × 98,902
  4. Step 4: Simplify right side
    70,705x = 9,781,605,604
  5. Step 5: Solve for x
    x = 9,781,605,604/70,705
  6. Step 6: Final answer
    x = 138,343.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.