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Finding the Third Proportional to 99,535 and 138,745

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Solution

The third proportional to 99,535 and 138,745 is: 193,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535 : 138,745 = 138,745 : x
  2. Step 2: Convert to fraction form
    99,535/138,745 = 138,745/x
  3. Step 3: Cross multiply
    99,535x = 138,745 × 138,745
  4. Step 4: Simplify right side
    99,535x = 19,250,175,025
  5. Step 5: Solve for x
    x = 19,250,175,025/99,535
  6. Step 6: Final answer
    x = 193,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.