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Finding the Third Proportional to 39,681 and 61,481

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Solution

The third proportional to 39,681 and 61,481 is: 95,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,681 : 61,481 = 61,481 : x
  2. Step 2: Convert to fraction form
    39,681/61,481 = 61,481/x
  3. Step 3: Cross multiply
    39,681x = 61,481 × 61,481
  4. Step 4: Simplify right side
    39,681x = 3,779,913,361
  5. Step 5: Solve for x
    x = 3,779,913,361/39,681
  6. Step 6: Final answer
    x = 95,257.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.