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Finding the Third Proportional to 102,446 and 138,105

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Solution

The third proportional to 102,446 and 138,105 is: 186,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,446 : 138,105 = 138,105 : x
  2. Step 2: Convert to fraction form
    102,446/138,105 = 138,105/x
  3. Step 3: Cross multiply
    102,446x = 138,105 × 138,105
  4. Step 4: Simplify right side
    102,446x = 19,072,991,025
  5. Step 5: Solve for x
    x = 19,072,991,025/102,446
  6. Step 6: Final answer
    x = 186,176.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.