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Finding the Third Proportional to 255,287.25 and 423,996.75

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Solution

The third proportional to 255,287.25 and 423,996.75 is: 704,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.25 : 423,996.75 = 423,996.75 : x
  2. Step 2: Convert to fraction form
    255,287.25/423,996.75 = 423,996.75/x
  3. Step 3: Cross multiply
    255,287.25x = 423,996.75 × 423,996.75
  4. Step 4: Simplify right side
    255,287.25x = 179,773,244,010.56
  5. Step 5: Solve for x
    x = 179,773,244,010.56/255,287.25
  6. Step 6: Final answer
    x = 704,199.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.