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Finding the Third Proportional to 255,279 and 423,987

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Solution

The third proportional to 255,279 and 423,987 is: 704,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,279 : 423,987 = 423,987 : x
  2. Step 2: Convert to fraction form
    255,279/423,987 = 423,987/x
  3. Step 3: Cross multiply
    255,279x = 423,987 × 423,987
  4. Step 4: Simplify right side
    255,279x = 179,764,976,169
  5. Step 5: Solve for x
    x = 179,764,976,169/255,279
  6. Step 6: Final answer
    x = 704,190.22

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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.