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Finding the Third Proportional to 99,209 and 149,708

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Solution

The third proportional to 99,209 and 149,708 is: 225,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,209 : 149,708 = 149,708 : x
  2. Step 2: Convert to fraction form
    99,209/149,708 = 149,708/x
  3. Step 3: Cross multiply
    99,209x = 149,708 × 149,708
  4. Step 4: Simplify right side
    99,209x = 22,412,485,264
  5. Step 5: Solve for x
    x = 22,412,485,264/99,209
  6. Step 6: Final answer
    x = 225,911.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.