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Finding the Third Proportional to 40,681 and 84,437

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Solution

The third proportional to 40,681 and 84,437 is: 175,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,681 : 84,437 = 84,437 : x
  2. Step 2: Convert to fraction form
    40,681/84,437 = 84,437/x
  3. Step 3: Cross multiply
    40,681x = 84,437 × 84,437
  4. Step 4: Simplify right side
    40,681x = 7,129,606,969
  5. Step 5: Solve for x
    x = 7,129,606,969/40,681
  6. Step 6: Final answer
    x = 175,256.43

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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.