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Finding the Third Proportional to 276,156 and 614,520

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Solution

The third proportional to 276,156 and 614,520 is: 1,367,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,156 : 614,520 = 614,520 : x
  2. Step 2: Convert to fraction form
    276,156/614,520 = 614,520/x
  3. Step 3: Cross multiply
    276,156x = 614,520 × 614,520
  4. Step 4: Simplify right side
    276,156x = 377,634,830,400
  5. Step 5: Solve for x
    x = 377,634,830,400/276,156
  6. Step 6: Final answer
    x = 1,367,469.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.