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Finding the Third Proportional to 577,121 and 862,451

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Solution

The third proportional to 577,121 and 862,451 is: 1,288,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,121 : 862,451 = 862,451 : x
  2. Step 2: Convert to fraction form
    577,121/862,451 = 862,451/x
  3. Step 3: Cross multiply
    577,121x = 862,451 × 862,451
  4. Step 4: Simplify right side
    577,121x = 743,821,727,401
  5. Step 5: Solve for x
    x = 743,821,727,401/577,121
  6. Step 6: Final answer
    x = 1,288,848.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.