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Finding the Third Proportional to 15.62 and 34.76

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Solution

The third proportional to 15.62 and 34.76 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.62 : 34.76 = 34.76 : x
  2. Step 2: Convert to fraction form
    15.62/34.76 = 34.76/x
  3. Step 3: Cross multiply
    15.62x = 34.76 × 34.76
  4. Step 4: Simplify right side
    15.62x = 1,208.24
  5. Step 5: Solve for x
    x = 1,208.24/15.62
  6. Step 6: Final answer
    x = 77.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.