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Finding the Third Proportional to 99,154 and 138,687

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Solution

The third proportional to 99,154 and 138,687 is: 193,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,154 : 138,687 = 138,687 : x
  2. Step 2: Convert to fraction form
    99,154/138,687 = 138,687/x
  3. Step 3: Cross multiply
    99,154x = 138,687 × 138,687
  4. Step 4: Simplify right side
    99,154x = 19,234,083,969
  5. Step 5: Solve for x
    x = 19,234,083,969/99,154
  6. Step 6: Final answer
    x = 193,981.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.