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Finding the Third Proportional to 300,340.13 and 638,830.13

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Solution

The third proportional to 300,340.13 and 638,830.13 is: 1,358,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,340.13 : 638,830.13 = 638,830.13 : x
  2. Step 2: Convert to fraction form
    300,340.13/638,830.13 = 638,830.13/x
  3. Step 3: Cross multiply
    300,340.13x = 638,830.13 × 638,830.13
  4. Step 4: Simplify right side
    300,340.13x = 408,103,928,607.52
  5. Step 5: Solve for x
    x = 408,103,928,607.52/300,340.13
  6. Step 6: Final answer
    x = 1,358,805.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.