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Finding the Third Proportional to 53.16 and 113.91

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Solution

The third proportional to 53.16 and 113.91 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 113.91 = 113.91 : x
  2. Step 2: Convert to fraction form
    53.16/113.91 = 113.91/x
  3. Step 3: Cross multiply
    53.16x = 113.91 × 113.91
  4. Step 4: Simplify right side
    53.16x = 12,974.63
  5. Step 5: Solve for x
    x = 12,974.63/53.16
  6. Step 6: Final answer
    x = 244.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.