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Finding the Third Proportional to 63,583 and 138,089

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Solution

The third proportional to 63,583 and 138,089 is: 299,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,583 : 138,089 = 138,089 : x
  2. Step 2: Convert to fraction form
    63,583/138,089 = 138,089/x
  3. Step 3: Cross multiply
    63,583x = 138,089 × 138,089
  4. Step 4: Simplify right side
    63,583x = 19,068,571,921
  5. Step 5: Solve for x
    x = 19,068,571,921/63,583
  6. Step 6: Final answer
    x = 299,900.48

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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.