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Finding the Third Proportional to 129,393 and 178,177.50

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Solution

The third proportional to 129,393 and 178,177.50 is: 245,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,393 : 178,177.50 = 178,177.50 : x
  2. Step 2: Convert to fraction form
    129,393/178,177.50 = 178,177.50/x
  3. Step 3: Cross multiply
    129,393x = 178,177.50 × 178,177.50
  4. Step 4: Simplify right side
    129,393x = 31,747,221,506.25
  5. Step 5: Solve for x
    x = 31,747,221,506.25/129,393
  6. Step 6: Final answer
    x = 245,355.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.