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Finding the Third Proportional to 313,684.69 and 672,877.69

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Solution

The third proportional to 313,684.69 and 672,877.69 is: 1,443,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684.69 : 672,877.69 = 672,877.69 : x
  2. Step 2: Convert to fraction form
    313,684.69/672,877.69 = 672,877.69/x
  3. Step 3: Cross multiply
    313,684.69x = 672,877.69 × 672,877.69
  4. Step 4: Simplify right side
    313,684.69x = 452,764,382,335.35
  5. Step 5: Solve for x
    x = 452,764,382,335.35/313,684.69
  6. Step 6: Final answer
    x = 1,443,374.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.