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Finding the Third Proportional to 312,909 and 672,972

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Solution

The third proportional to 312,909 and 672,972 is: 1,447,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,909 : 672,972 = 672,972 : x
  2. Step 2: Convert to fraction form
    312,909/672,972 = 672,972/x
  3. Step 3: Cross multiply
    312,909x = 672,972 × 672,972
  4. Step 4: Simplify right side
    312,909x = 452,891,312,784
  5. Step 5: Solve for x
    x = 452,891,312,784/312,909
  6. Step 6: Final answer
    x = 1,447,357.90

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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.