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Finding the Third Proportional to 426,180 and 918,782

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Solution

The third proportional to 426,180 and 918,782 is: 1,980,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,180 : 918,782 = 918,782 : x
  2. Step 2: Convert to fraction form
    426,180/918,782 = 918,782/x
  3. Step 3: Cross multiply
    426,180x = 918,782 × 918,782
  4. Step 4: Simplify right side
    426,180x = 844,160,363,524
  5. Step 5: Solve for x
    x = 844,160,363,524/426,180
  6. Step 6: Final answer
    x = 1,980,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.