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Finding the Third Proportional to 102,940 and 149,719

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Solution

The third proportional to 102,940 and 149,719 is: 217,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940 : 149,719 = 149,719 : x
  2. Step 2: Convert to fraction form
    102,940/149,719 = 149,719/x
  3. Step 3: Cross multiply
    102,940x = 149,719 × 149,719
  4. Step 4: Simplify right side
    102,940x = 22,415,778,961
  5. Step 5: Solve for x
    x = 22,415,778,961/102,940
  6. Step 6: Final answer
    x = 217,755.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.