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Finding the Third Proportional to 39,068 and 57,872

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Solution

The third proportional to 39,068 and 57,872 is: 85,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,068 : 57,872 = 57,872 : x
  2. Step 2: Convert to fraction form
    39,068/57,872 = 57,872/x
  3. Step 3: Cross multiply
    39,068x = 57,872 × 57,872
  4. Step 4: Simplify right side
    39,068x = 3,349,168,384
  5. Step 5: Solve for x
    x = 3,349,168,384/39,068
  6. Step 6: Final answer
    x = 85,726.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.