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Finding the Third Proportional to 394,478 and 577,797

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Solution

The third proportional to 394,478 and 577,797 is: 846,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,478 : 577,797 = 577,797 : x
  2. Step 2: Convert to fraction form
    394,478/577,797 = 577,797/x
  3. Step 3: Cross multiply
    394,478x = 577,797 × 577,797
  4. Step 4: Simplify right side
    394,478x = 333,849,373,209
  5. Step 5: Solve for x
    x = 333,849,373,209/394,478
  6. Step 6: Final answer
    x = 846,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.