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Finding the Third Proportional to 58,561 and 138,103

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Solution

The third proportional to 58,561 and 138,103 is: 325,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,561 : 138,103 = 138,103 : x
  2. Step 2: Convert to fraction form
    58,561/138,103 = 138,103/x
  3. Step 3: Cross multiply
    58,561x = 138,103 × 138,103
  4. Step 4: Simplify right side
    58,561x = 19,072,438,609
  5. Step 5: Solve for x
    x = 19,072,438,609/58,561
  6. Step 6: Final answer
    x = 325,684.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.