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Finding the Third Proportional to 92,553.75 and 138,586.50

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Solution

The third proportional to 92,553.75 and 138,586.50 is: 207,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,553.75 : 138,586.50 = 138,586.50 : x
  2. Step 2: Convert to fraction form
    92,553.75/138,586.50 = 138,586.50/x
  3. Step 3: Cross multiply
    92,553.75x = 138,586.50 × 138,586.50
  4. Step 4: Simplify right side
    92,553.75x = 19,206,217,982.25
  5. Step 5: Solve for x
    x = 19,206,217,982.25/92,553.75
  6. Step 6: Final answer
    x = 207,514.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.