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Finding the Third Proportional to 38,970 and 85,716

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Solution

The third proportional to 38,970 and 85,716 is: 188,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970 : 85,716 = 85,716 : x
  2. Step 2: Convert to fraction form
    38,970/85,716 = 85,716/x
  3. Step 3: Cross multiply
    38,970x = 85,716 × 85,716
  4. Step 4: Simplify right side
    38,970x = 7,347,232,656
  5. Step 5: Solve for x
    x = 7,347,232,656/38,970
  6. Step 6: Final answer
    x = 188,535.61

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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.