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Finding the Third Proportional to 311,661.38 and 672,530.25

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Solution

The third proportional to 311,661.38 and 672,530.25 is: 1,451,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,661.38 : 672,530.25 = 672,530.25 : x
  2. Step 2: Convert to fraction form
    311,661.38/672,530.25 = 672,530.25/x
  3. Step 3: Cross multiply
    311,661.38x = 672,530.25 × 672,530.25
  4. Step 4: Simplify right side
    311,661.38x = 452,296,937,165.06
  5. Step 5: Solve for x
    x = 452,296,937,165.06/311,661.38
  6. Step 6: Final answer
    x = 1,451,244.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.