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Finding the Third Proportional to 138,649.50 and 282,630

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Solution

The third proportional to 138,649.50 and 282,630 is: 576,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.50 : 282,630 = 282,630 : x
  2. Step 2: Convert to fraction form
    138,649.50/282,630 = 282,630/x
  3. Step 3: Cross multiply
    138,649.50x = 282,630 × 282,630
  4. Step 4: Simplify right side
    138,649.50x = 79,879,716,900
  5. Step 5: Solve for x
    x = 79,879,716,900/138,649.50
  6. Step 6: Final answer
    x = 576,126.97

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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.