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Finding the Third Proportional to 79,914 and 172,282

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Solution

The third proportional to 79,914 and 172,282 is: 371,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,914 : 172,282 = 172,282 : x
  2. Step 2: Convert to fraction form
    79,914/172,282 = 172,282/x
  3. Step 3: Cross multiply
    79,914x = 172,282 × 172,282
  4. Step 4: Simplify right side
    79,914x = 29,681,087,524
  5. Step 5: Solve for x
    x = 29,681,087,524/79,914
  6. Step 6: Final answer
    x = 371,412.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.