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Finding the Third Proportional to 63,872 and 138,822

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Solution

The third proportional to 63,872 and 138,822 is: 301,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,872 : 138,822 = 138,822 : x
  2. Step 2: Convert to fraction form
    63,872/138,822 = 138,822/x
  3. Step 3: Cross multiply
    63,872x = 138,822 × 138,822
  4. Step 4: Simplify right side
    63,872x = 19,271,547,684
  5. Step 5: Solve for x
    x = 19,271,547,684/63,872
  6. Step 6: Final answer
    x = 301,721.38

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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.