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Finding the Third Proportional to 312,758 and 681,650

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Solution

The third proportional to 312,758 and 681,650 is: 1,485,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,758 : 681,650 = 681,650 : x
  2. Step 2: Convert to fraction form
    312,758/681,650 = 681,650/x
  3. Step 3: Cross multiply
    312,758x = 681,650 × 681,650
  4. Step 4: Simplify right side
    312,758x = 464,646,722,500
  5. Step 5: Solve for x
    x = 464,646,722,500/312,758
  6. Step 6: Final answer
    x = 1,485,642.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.