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Finding the Third Proportional to 75,380 and 156,961

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Solution

The third proportional to 75,380 and 156,961 is: 326,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,380 : 156,961 = 156,961 : x
  2. Step 2: Convert to fraction form
    75,380/156,961 = 156,961/x
  3. Step 3: Cross multiply
    75,380x = 156,961 × 156,961
  4. Step 4: Simplify right side
    75,380x = 24,636,755,521
  5. Step 5: Solve for x
    x = 24,636,755,521/75,380
  6. Step 6: Final answer
    x = 326,834.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.