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Finding the Third Proportional to 309,619.13 and 627,949.13

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Solution

The third proportional to 309,619.13 and 627,949.13 is: 1,273,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,619.13 : 627,949.13 = 627,949.13 : x
  2. Step 2: Convert to fraction form
    309,619.13/627,949.13 = 627,949.13/x
  3. Step 3: Cross multiply
    309,619.13x = 627,949.13 × 627,949.13
  4. Step 4: Simplify right side
    309,619.13x = 394,320,103,588.27
  5. Step 5: Solve for x
    x = 394,320,103,588.27/309,619.13
  6. Step 6: Final answer
    x = 1,273,565.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.