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Finding the Third Proportional to 69,376 and 149,282

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Solution

The third proportional to 69,376 and 149,282 is: 321,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376 : 149,282 = 149,282 : x
  2. Step 2: Convert to fraction form
    69,376/149,282 = 149,282/x
  3. Step 3: Cross multiply
    69,376x = 149,282 × 149,282
  4. Step 4: Simplify right side
    69,376x = 22,285,115,524
  5. Step 5: Solve for x
    x = 22,285,115,524/69,376
  6. Step 6: Final answer
    x = 321,222.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.