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Finding the Third Proportional to 39,769 and 58,459

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Solution

The third proportional to 39,769 and 58,459 is: 85,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,769 : 58,459 = 58,459 : x
  2. Step 2: Convert to fraction form
    39,769/58,459 = 58,459/x
  3. Step 3: Cross multiply
    39,769x = 58,459 × 58,459
  4. Step 4: Simplify right side
    39,769x = 3,417,454,681
  5. Step 5: Solve for x
    x = 3,417,454,681/39,769
  6. Step 6: Final answer
    x = 85,932.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.