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Finding the Third Proportional to 457,090.50 and 984,421.50

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Solution

The third proportional to 457,090.50 and 984,421.50 is: 2,120,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,090.50 : 984,421.50 = 984,421.50 : x
  2. Step 2: Convert to fraction form
    457,090.50/984,421.50 = 984,421.50/x
  3. Step 3: Cross multiply
    457,090.50x = 984,421.50 × 984,421.50
  4. Step 4: Simplify right side
    457,090.50x = 969,085,689,662.25
  5. Step 5: Solve for x
    x = 969,085,689,662.25/457,090.50
  6. Step 6: Final answer
    x = 2,120,117.77

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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.