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Finding the Third Proportional to 38,856 and 85,320

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Solution

The third proportional to 38,856 and 85,320 is: 187,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856 : 85,320 = 85,320 : x
  2. Step 2: Convert to fraction form
    38,856/85,320 = 85,320/x
  3. Step 3: Cross multiply
    38,856x = 85,320 × 85,320
  4. Step 4: Simplify right side
    38,856x = 7,279,502,400
  5. Step 5: Solve for x
    x = 7,279,502,400/38,856
  6. Step 6: Final answer
    x = 187,345.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.