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Finding the Third Proportional to 40,397 and 86,791

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Solution

The third proportional to 40,397 and 86,791 is: 186,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,397 : 86,791 = 86,791 : x
  2. Step 2: Convert to fraction form
    40,397/86,791 = 86,791/x
  3. Step 3: Cross multiply
    40,397x = 86,791 × 86,791
  4. Step 4: Simplify right side
    40,397x = 7,532,677,681
  5. Step 5: Solve for x
    x = 7,532,677,681/40,397
  6. Step 6: Final answer
    x = 186,466.26

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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.