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Finding the Third Proportional to 293,874.75 and 645,544.69

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Solution

The third proportional to 293,874.75 and 645,544.69 is: 1,418,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,874.75 : 645,544.69 = 645,544.69 : x
  2. Step 2: Convert to fraction form
    293,874.75/645,544.69 = 645,544.69/x
  3. Step 3: Cross multiply
    293,874.75x = 645,544.69 × 645,544.69
  4. Step 4: Simplify right side
    293,874.75x = 416,727,943,559.47
  5. Step 5: Solve for x
    x = 416,727,943,559.47/293,874.75
  6. Step 6: Final answer
    x = 1,418,046.10

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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.