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Finding the Third Proportional to 78,376 and 170,737

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Solution

The third proportional to 78,376 and 170,737 is: 371,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376 : 170,737 = 170,737 : x
  2. Step 2: Convert to fraction form
    78,376/170,737 = 170,737/x
  3. Step 3: Cross multiply
    78,376x = 170,737 × 170,737
  4. Step 4: Simplify right side
    78,376x = 29,151,123,169
  5. Step 5: Solve for x
    x = 29,151,123,169/78,376
  6. Step 6: Final answer
    x = 371,939.41

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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.