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Finding the Third Proportional to 69,438 and 149,424

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Solution

The third proportional to 69,438 and 149,424 is: 321,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,438 : 149,424 = 149,424 : x
  2. Step 2: Convert to fraction form
    69,438/149,424 = 149,424/x
  3. Step 3: Cross multiply
    69,438x = 149,424 × 149,424
  4. Step 4: Simplify right side
    69,438x = 22,327,531,776
  5. Step 5: Solve for x
    x = 22,327,531,776/69,438
  6. Step 6: Final answer
    x = 321,546.30

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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.