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Finding the Third Proportional to 457,290 and 984,815.75

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Solution

The third proportional to 457,290 and 984,815.75 is: 2,120,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,290 : 984,815.75 = 984,815.75 : x
  2. Step 2: Convert to fraction form
    457,290/984,815.75 = 984,815.75/x
  3. Step 3: Cross multiply
    457,290x = 984,815.75 × 984,815.75
  4. Step 4: Simplify right side
    457,290x = 969,862,061,448.06
  5. Step 5: Solve for x
    x = 969,862,061,448.06/457,290
  6. Step 6: Final answer
    x = 2,120,890.60

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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.