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Finding the Third Proportional to 427,228.50 and 664,171.50

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Solution

The third proportional to 427,228.50 and 664,171.50 is: 1,032,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,228.50 : 664,171.50 = 664,171.50 : x
  2. Step 2: Convert to fraction form
    427,228.50/664,171.50 = 664,171.50/x
  3. Step 3: Cross multiply
    427,228.50x = 664,171.50 × 664,171.50
  4. Step 4: Simplify right side
    427,228.50x = 441,123,781,412.25
  5. Step 5: Solve for x
    x = 441,123,781,412.25/427,228.50
  6. Step 6: Final answer
    x = 1,032,524.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.