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Finding the Third Proportional to 78,466 and 171,502

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Solution

The third proportional to 78,466 and 171,502 is: 374,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466 : 171,502 = 171,502 : x
  2. Step 2: Convert to fraction form
    78,466/171,502 = 171,502/x
  3. Step 3: Cross multiply
    78,466x = 171,502 × 171,502
  4. Step 4: Simplify right side
    78,466x = 29,412,936,004
  5. Step 5: Solve for x
    x = 29,412,936,004/78,466
  6. Step 6: Final answer
    x = 374,849.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.