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Finding the Third Proportional to 299,667 and 654,555

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Solution

The third proportional to 299,667 and 654,555 is: 1,429,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,667 : 654,555 = 654,555 : x
  2. Step 2: Convert to fraction form
    299,667/654,555 = 654,555/x
  3. Step 3: Cross multiply
    299,667x = 654,555 × 654,555
  4. Step 4: Simplify right side
    299,667x = 428,442,248,025
  5. Step 5: Solve for x
    x = 428,442,248,025/299,667
  6. Step 6: Final answer
    x = 1,429,727.82

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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.