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Finding the Third Proportional to 276,856 and 424,423

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Solution

The third proportional to 276,856 and 424,423 is: 650,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,856 : 424,423 = 424,423 : x
  2. Step 2: Convert to fraction form
    276,856/424,423 = 424,423/x
  3. Step 3: Cross multiply
    276,856x = 424,423 × 424,423
  4. Step 4: Simplify right side
    276,856x = 180,134,882,929
  5. Step 5: Solve for x
    x = 180,134,882,929/276,856
  6. Step 6: Final answer
    x = 650,644.68

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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.