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Finding the Third Proportional to 29,440 and 63,872

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Solution

The third proportional to 29,440 and 63,872 is: 138,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,440 : 63,872 = 63,872 : x
  2. Step 2: Convert to fraction form
    29,440/63,872 = 63,872/x
  3. Step 3: Cross multiply
    29,440x = 63,872 × 63,872
  4. Step 4: Simplify right side
    29,440x = 4,079,632,384
  5. Step 5: Solve for x
    x = 4,079,632,384/29,440
  6. Step 6: Final answer
    x = 138,574.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.