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Finding the Third Proportional to 129,150 and 174,438

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Solution

The third proportional to 129,150 and 174,438 is: 235,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,150 : 174,438 = 174,438 : x
  2. Step 2: Convert to fraction form
    129,150/174,438 = 174,438/x
  3. Step 3: Cross multiply
    129,150x = 174,438 × 174,438
  4. Step 4: Simplify right side
    129,150x = 30,428,615,844
  5. Step 5: Solve for x
    x = 30,428,615,844/129,150
  6. Step 6: Final answer
    x = 235,606.78

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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.