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Finding the Third Proportional to 309,691.69 and 682,246.13

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Solution

The third proportional to 309,691.69 and 682,246.13 is: 1,502,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,691.69 : 682,246.13 = 682,246.13 : x
  2. Step 2: Convert to fraction form
    309,691.69/682,246.13 = 682,246.13/x
  3. Step 3: Cross multiply
    309,691.69x = 682,246.13 × 682,246.13
  4. Step 4: Simplify right side
    309,691.69x = 465,459,775,077.52
  5. Step 5: Solve for x
    x = 465,459,775,077.52/309,691.69
  6. Step 6: Final answer
    x = 1,502,977.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.