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Finding the Third Proportional to 78,908 and 171,188

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Solution

The third proportional to 78,908 and 171,188 is: 371,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,908 : 171,188 = 171,188 : x
  2. Step 2: Convert to fraction form
    78,908/171,188 = 171,188/x
  3. Step 3: Cross multiply
    78,908x = 171,188 × 171,188
  4. Step 4: Simplify right side
    78,908x = 29,305,331,344
  5. Step 5: Solve for x
    x = 29,305,331,344/78,908
  6. Step 6: Final answer
    x = 371,386.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.