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Finding the Third Proportional to 267,221 and 399,535

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Solution

The third proportional to 267,221 and 399,535 is: 597,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,221 : 399,535 = 399,535 : x
  2. Step 2: Convert to fraction form
    267,221/399,535 = 399,535/x
  3. Step 3: Cross multiply
    267,221x = 399,535 × 399,535
  4. Step 4: Simplify right side
    267,221x = 159,628,216,225
  5. Step 5: Solve for x
    x = 159,628,216,225/267,221
  6. Step 6: Final answer
    x = 597,364.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.