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Finding the Third Proportional to 267,637 and 384,689

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Solution

The third proportional to 267,637 and 384,689 is: 552,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,637 : 384,689 = 384,689 : x
  2. Step 2: Convert to fraction form
    267,637/384,689 = 384,689/x
  3. Step 3: Cross multiply
    267,637x = 384,689 × 384,689
  4. Step 4: Simplify right side
    267,637x = 147,985,626,721
  5. Step 5: Solve for x
    x = 147,985,626,721/267,637
  6. Step 6: Final answer
    x = 552,934.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.