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Finding the Third Proportional to 457,084 and 984,408

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Solution

The third proportional to 457,084 and 984,408 is: 2,120,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,084 : 984,408 = 984,408 : x
  2. Step 2: Convert to fraction form
    457,084/984,408 = 984,408/x
  3. Step 3: Cross multiply
    457,084x = 984,408 × 984,408
  4. Step 4: Simplify right side
    457,084x = 969,059,110,464
  5. Step 5: Solve for x
    x = 969,059,110,464/457,084
  6. Step 6: Final answer
    x = 2,120,089.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.