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Finding the Third Proportional to 138,646.69 and 282,624.19

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Solution

The third proportional to 138,646.69 and 282,624.19 is: 576,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.69 : 282,624.19 = 282,624.19 : x
  2. Step 2: Convert to fraction form
    138,646.69/282,624.19 = 282,624.19/x
  3. Step 3: Cross multiply
    138,646.69x = 282,624.19 × 282,624.19
  4. Step 4: Simplify right side
    138,646.69x = 79,876,431,360.04
  5. Step 5: Solve for x
    x = 79,876,431,360.04/138,646.69
  6. Step 6: Final answer
    x = 576,114.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.