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Finding the Third Proportional to 131,856 and 195,317

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Solution

The third proportional to 131,856 and 195,317 is: 289,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,856 : 195,317 = 195,317 : x
  2. Step 2: Convert to fraction form
    131,856/195,317 = 195,317/x
  3. Step 3: Cross multiply
    131,856x = 195,317 × 195,317
  4. Step 4: Simplify right side
    131,856x = 38,148,730,489
  5. Step 5: Solve for x
    x = 38,148,730,489/131,856
  6. Step 6: Final answer
    x = 289,321.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.