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Finding the Third Proportional to 276,854 and 424,419

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Solution

The third proportional to 276,854 and 424,419 is: 650,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,854 : 424,419 = 424,419 : x
  2. Step 2: Convert to fraction form
    276,854/424,419 = 424,419/x
  3. Step 3: Cross multiply
    276,854x = 424,419 × 424,419
  4. Step 4: Simplify right side
    276,854x = 180,131,487,561
  5. Step 5: Solve for x
    x = 180,131,487,561/276,854
  6. Step 6: Final answer
    x = 650,637.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.