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Finding the Third Proportional to 655,614 and 989,451

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Solution

The third proportional to 655,614 and 989,451 is: 1,493,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,614 : 989,451 = 989,451 : x
  2. Step 2: Convert to fraction form
    655,614/989,451 = 989,451/x
  3. Step 3: Cross multiply
    655,614x = 989,451 × 989,451
  4. Step 4: Simplify right side
    655,614x = 979,013,281,401
  5. Step 5: Solve for x
    x = 979,013,281,401/655,614
  6. Step 6: Final answer
    x = 1,493,276.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.