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Finding the Third Proportional to 255,275 and 423,979

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Solution

The third proportional to 255,275 and 423,979 is: 704,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,275 : 423,979 = 423,979 : x
  2. Step 2: Convert to fraction form
    255,275/423,979 = 423,979/x
  3. Step 3: Cross multiply
    255,275x = 423,979 × 423,979
  4. Step 4: Simplify right side
    255,275x = 179,758,192,441
  5. Step 5: Solve for x
    x = 179,758,192,441/255,275
  6. Step 6: Final answer
    x = 704,174.68

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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.