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Finding the Third Proportional to 312,422.06 and 672,310.13

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Solution

The third proportional to 312,422.06 and 672,310.13 is: 1,446,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.06 : 672,310.13 = 672,310.13 : x
  2. Step 2: Convert to fraction form
    312,422.06/672,310.13 = 672,310.13/x
  3. Step 3: Cross multiply
    312,422.06x = 672,310.13 × 672,310.13
  4. Step 4: Simplify right side
    312,422.06x = 452,000,904,177.52
  5. Step 5: Solve for x
    x = 452,000,904,177.52/312,422.06
  6. Step 6: Final answer
    x = 1,446,763.72

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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.