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Finding the Third Proportional to 38,932 and 85,640

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Solution

The third proportional to 38,932 and 85,640 is: 188,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,932 : 85,640 = 85,640 : x
  2. Step 2: Convert to fraction form
    38,932/85,640 = 85,640/x
  3. Step 3: Cross multiply
    38,932x = 85,640 × 85,640
  4. Step 4: Simplify right side
    38,932x = 7,334,209,600
  5. Step 5: Solve for x
    x = 7,334,209,600/38,932
  6. Step 6: Final answer
    x = 188,385.12

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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.