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Finding the Third Proportional to 312,540 and 672,540

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Solution

The third proportional to 312,540 and 672,540 is: 1,447,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,540 : 672,540 = 672,540 : x
  2. Step 2: Convert to fraction form
    312,540/672,540 = 672,540/x
  3. Step 3: Cross multiply
    312,540x = 672,540 × 672,540
  4. Step 4: Simplify right side
    312,540x = 452,310,051,600
  5. Step 5: Solve for x
    x = 452,310,051,600/312,540
  6. Step 6: Final answer
    x = 1,447,206.92

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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.