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Finding the Third Proportional to 55,180 and 85,597

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Solution

The third proportional to 55,180 and 85,597 is: 132,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,180 : 85,597 = 85,597 : x
  2. Step 2: Convert to fraction form
    55,180/85,597 = 85,597/x
  3. Step 3: Cross multiply
    55,180x = 85,597 × 85,597
  4. Step 4: Simplify right side
    55,180x = 7,326,846,409
  5. Step 5: Solve for x
    x = 7,326,846,409/55,180
  6. Step 6: Final answer
    x = 132,780.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.