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Finding the Third Proportional to 113.06 and 279.91

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Solution

The third proportional to 113.06 and 279.91 is: 693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 279.91 = 279.91 : x
  2. Step 2: Convert to fraction form
    113.06/279.91 = 279.91/x
  3. Step 3: Cross multiply
    113.06x = 279.91 × 279.91
  4. Step 4: Simplify right side
    113.06x = 78,351.88
  5. Step 5: Solve for x
    x = 78,351.88/113.06
  6. Step 6: Final answer
    x = 693.00

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.