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Finding the Third Proportional to 47 and 86.88

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Solution

The third proportional to 47 and 86.88 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 86.88 = 86.88 : x
  2. Step 2: Convert to fraction form
    47/86.88 = 86.88/x
  3. Step 3: Cross multiply
    47x = 86.88 × 86.88
  4. Step 4: Simplify right side
    47x = 7,547.27
  5. Step 5: Solve for x
    x = 7,547.27/47
  6. Step 6: Final answer
    x = 160.58

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.