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Finding the Third Proportional to 270,509.25 and 422,140.13

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Solution

The third proportional to 270,509.25 and 422,140.13 is: 658,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,509.25 : 422,140.13 = 422,140.13 : x
  2. Step 2: Convert to fraction form
    270,509.25/422,140.13 = 422,140.13/x
  3. Step 3: Cross multiply
    270,509.25x = 422,140.13 × 422,140.13
  4. Step 4: Simplify right side
    270,509.25x = 178,202,285,135.02
  5. Step 5: Solve for x
    x = 178,202,285,135.02/270,509.25
  6. Step 6: Final answer
    x = 658,765.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.