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Finding the Third Proportional to 276,894 and 425,385

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Solution

The third proportional to 276,894 and 425,385 is: 653,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,894 : 425,385 = 425,385 : x
  2. Step 2: Convert to fraction form
    276,894/425,385 = 425,385/x
  3. Step 3: Cross multiply
    276,894x = 425,385 × 425,385
  4. Step 4: Simplify right side
    276,894x = 180,952,398,225
  5. Step 5: Solve for x
    x = 180,952,398,225/276,894
  6. Step 6: Final answer
    x = 653,507.83

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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.