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Finding the Third Proportional to 577,903 and 766,812

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Solution

The third proportional to 577,903 and 766,812 is: 1,017,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,903 : 766,812 = 766,812 : x
  2. Step 2: Convert to fraction form
    577,903/766,812 = 766,812/x
  3. Step 3: Cross multiply
    577,903x = 766,812 × 766,812
  4. Step 4: Simplify right side
    577,903x = 588,000,643,344
  5. Step 5: Solve for x
    x = 588,000,643,344/577,903
  6. Step 6: Final answer
    x = 1,017,472.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.