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Finding the Third Proportional to 78,639 and 171,102

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Solution

The third proportional to 78,639 and 171,102 is: 372,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639 : 171,102 = 171,102 : x
  2. Step 2: Convert to fraction form
    78,639/171,102 = 171,102/x
  3. Step 3: Cross multiply
    78,639x = 171,102 × 171,102
  4. Step 4: Simplify right side
    78,639x = 29,275,894,404
  5. Step 5: Solve for x
    x = 29,275,894,404/78,639
  6. Step 6: Final answer
    x = 372,282.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.