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Finding the Third Proportional to 272,866 and 420,963

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Solution

The third proportional to 272,866 and 420,963 is: 649,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,866 : 420,963 = 420,963 : x
  2. Step 2: Convert to fraction form
    272,866/420,963 = 420,963/x
  3. Step 3: Cross multiply
    272,866x = 420,963 × 420,963
  4. Step 4: Simplify right side
    272,866x = 177,209,847,369
  5. Step 5: Solve for x
    x = 177,209,847,369/272,866
  6. Step 6: Final answer
    x = 649,439.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.