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Finding the Third Proportional to 40,681 and 84,436

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Solution

The third proportional to 40,681 and 84,436 is: 175,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,681 : 84,436 = 84,436 : x
  2. Step 2: Convert to fraction form
    40,681/84,436 = 84,436/x
  3. Step 3: Cross multiply
    40,681x = 84,436 × 84,436
  4. Step 4: Simplify right side
    40,681x = 7,129,438,096
  5. Step 5: Solve for x
    x = 7,129,438,096/40,681
  6. Step 6: Final answer
    x = 175,252.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.