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Finding the Third Proportional to 486,000 and 1,024,812

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Solution

The third proportional to 486,000 and 1,024,812 is: 2,160,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,000 : 1,024,812 = 1,024,812 : x
  2. Step 2: Convert to fraction form
    486,000/1,024,812 = 1,024,812/x
  3. Step 3: Cross multiply
    486,000x = 1,024,812 × 1,024,812
  4. Step 4: Simplify right side
    486,000x = 1,050,239,635,344
  5. Step 5: Solve for x
    x = 1,050,239,635,344/486,000
  6. Step 6: Final answer
    x = 2,160,986.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.