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Finding the Third Proportional to 40,358 and 79,681

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Solution

The third proportional to 40,358 and 79,681 is: 157,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358 : 79,681 = 79,681 : x
  2. Step 2: Convert to fraction form
    40,358/79,681 = 79,681/x
  3. Step 3: Cross multiply
    40,358x = 79,681 × 79,681
  4. Step 4: Simplify right side
    40,358x = 6,349,061,761
  5. Step 5: Solve for x
    x = 6,349,061,761/40,358
  6. Step 6: Final answer
    x = 157,318.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.