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Finding the Third Proportional to 217,420 and 466,979

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Solution

The third proportional to 217,420 and 466,979 is: 1,002,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,420 : 466,979 = 466,979 : x
  2. Step 2: Convert to fraction form
    217,420/466,979 = 466,979/x
  3. Step 3: Cross multiply
    217,420x = 466,979 × 466,979
  4. Step 4: Simplify right side
    217,420x = 218,069,386,441
  5. Step 5: Solve for x
    x = 218,069,386,441/217,420
  6. Step 6: Final answer
    x = 1,002,986.78

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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.