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Finding the Third Proportional to 115.31 and 279.70

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Solution

The third proportional to 115.31 and 279.70 is: 678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.31 : 279.70 = 279.70 : x
  2. Step 2: Convert to fraction form
    115.31/279.70 = 279.70/x
  3. Step 3: Cross multiply
    115.31x = 279.70 × 279.70
  4. Step 4: Simplify right side
    115.31x = 78,233.84
  5. Step 5: Solve for x
    x = 78,233.84/115.31
  6. Step 6: Final answer
    x = 678.45

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.