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Finding the Third Proportional to 72,448 and 149,552

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Solution

The third proportional to 72,448 and 149,552 is: 308,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,448 : 149,552 = 149,552 : x
  2. Step 2: Convert to fraction form
    72,448/149,552 = 149,552/x
  3. Step 3: Cross multiply
    72,448x = 149,552 × 149,552
  4. Step 4: Simplify right side
    72,448x = 22,365,800,704
  5. Step 5: Solve for x
    x = 22,365,800,704/72,448
  6. Step 6: Final answer
    x = 308,715.23

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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.