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Finding the Third Proportional to 457,080 and 984,400.50

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Solution

The third proportional to 457,080 and 984,400.50 is: 2,120,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,080 : 984,400.50 = 984,400.50 : x
  2. Step 2: Convert to fraction form
    457,080/984,400.50 = 984,400.50/x
  3. Step 3: Cross multiply
    457,080x = 984,400.50 × 984,400.50
  4. Step 4: Simplify right side
    457,080x = 969,044,344,400.25
  5. Step 5: Solve for x
    x = 969,044,344,400.25/457,080
  6. Step 6: Final answer
    x = 2,120,076.01

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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.