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Finding the Third Proportional to 276,320 and 426,691

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Solution

The third proportional to 276,320 and 426,691 is: 658,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,320 : 426,691 = 426,691 : x
  2. Step 2: Convert to fraction form
    276,320/426,691 = 426,691/x
  3. Step 3: Cross multiply
    276,320x = 426,691 × 426,691
  4. Step 4: Simplify right side
    276,320x = 182,065,209,481
  5. Step 5: Solve for x
    x = 182,065,209,481/276,320
  6. Step 6: Final answer
    x = 658,892.62

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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.