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Finding the Third Proportional to 259.75 and 614.88

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Solution

The third proportional to 259.75 and 614.88 is: 1,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 614.88 = 614.88 : x
  2. Step 2: Convert to fraction form
    259.75/614.88 = 614.88/x
  3. Step 3: Cross multiply
    259.75x = 614.88 × 614.88
  4. Step 4: Simplify right side
    259.75x = 378,071.27
  5. Step 5: Solve for x
    x = 378,071.27/259.75
  6. Step 6: Final answer
    x = 1,455.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.