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Finding the Third Proportional to 71,380 and 148,424

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Solution

The third proportional to 71,380 and 148,424 is: 308,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380 : 148,424 = 148,424 : x
  2. Step 2: Convert to fraction form
    71,380/148,424 = 148,424/x
  3. Step 3: Cross multiply
    71,380x = 148,424 × 148,424
  4. Step 4: Simplify right side
    71,380x = 22,029,683,776
  5. Step 5: Solve for x
    x = 22,029,683,776/71,380
  6. Step 6: Final answer
    x = 308,625.44

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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.