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Finding the Third Proportional to 259.31 and 376.88

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Solution

The third proportional to 259.31 and 376.88 is: 547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.31 : 376.88 = 376.88 : x
  2. Step 2: Convert to fraction form
    259.31/376.88 = 376.88/x
  3. Step 3: Cross multiply
    259.31x = 376.88 × 376.88
  4. Step 4: Simplify right side
    259.31x = 142,034.77
  5. Step 5: Solve for x
    x = 142,034.77/259.31
  6. Step 6: Final answer
    x = 547.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.