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Finding the Third Proportional to 39,748 and 86,730

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Solution

The third proportional to 39,748 and 86,730 is: 189,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,748 : 86,730 = 86,730 : x
  2. Step 2: Convert to fraction form
    39,748/86,730 = 86,730/x
  3. Step 3: Cross multiply
    39,748x = 86,730 × 86,730
  4. Step 4: Simplify right side
    39,748x = 7,522,092,900
  5. Step 5: Solve for x
    x = 7,522,092,900/39,748
  6. Step 6: Final answer
    x = 189,244.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.