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Finding the Third Proportional to 129,393 and 205,753.50

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Solution

The third proportional to 129,393 and 205,753.50 is: 327,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,393 : 205,753.50 = 205,753.50 : x
  2. Step 2: Convert to fraction form
    129,393/205,753.50 = 205,753.50/x
  3. Step 3: Cross multiply
    129,393x = 205,753.50 × 205,753.50
  4. Step 4: Simplify right side
    129,393x = 42,334,502,762.25
  5. Step 5: Solve for x
    x = 42,334,502,762.25/129,393
  6. Step 6: Final answer
    x = 327,177.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.