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Finding the Third Proportional to 69,499 and 149,806

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Solution

The third proportional to 69,499 and 149,806 is: 322,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,499 : 149,806 = 149,806 : x
  2. Step 2: Convert to fraction form
    69,499/149,806 = 149,806/x
  3. Step 3: Cross multiply
    69,499x = 149,806 × 149,806
  4. Step 4: Simplify right side
    69,499x = 22,441,837,636
  5. Step 5: Solve for x
    x = 22,441,837,636/69,499
  6. Step 6: Final answer
    x = 322,908.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.