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Finding the Third Proportional to 39,045 and 85,613

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Solution

The third proportional to 39,045 and 85,613 is: 187,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,045 : 85,613 = 85,613 : x
  2. Step 2: Convert to fraction form
    39,045/85,613 = 85,613/x
  3. Step 3: Cross multiply
    39,045x = 85,613 × 85,613
  4. Step 4: Simplify right side
    39,045x = 7,329,585,769
  5. Step 5: Solve for x
    x = 7,329,585,769/39,045
  6. Step 6: Final answer
    x = 187,721.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.