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Finding the Third Proportional to 14.55 and 31.48

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Solution

The third proportional to 14.55 and 31.48 is: 68.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.55 : 31.48 = 31.48 : x
  2. Step 2: Convert to fraction form
    14.55/31.48 = 31.48/x
  3. Step 3: Cross multiply
    14.55x = 31.48 × 31.48
  4. Step 4: Simplify right side
    14.55x = 991.14
  5. Step 5: Solve for x
    x = 991.14/14.55
  6. Step 6: Final answer
    x = 68.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.