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Finding the Third Proportional to 72,292 and 149,048

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Solution

The third proportional to 72,292 and 149,048 is: 307,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,292 : 149,048 = 149,048 : x
  2. Step 2: Convert to fraction form
    72,292/149,048 = 149,048/x
  3. Step 3: Cross multiply
    72,292x = 149,048 × 149,048
  4. Step 4: Simplify right side
    72,292x = 22,215,306,304
  5. Step 5: Solve for x
    x = 22,215,306,304/72,292
  6. Step 6: Final answer
    x = 307,299.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.