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Finding the Third Proportional to 7.61 and 15.62

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Solution

The third proportional to 7.61 and 15.62 is: 32.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.61 : 15.62 = 15.62 : x
  2. Step 2: Convert to fraction form
    7.61/15.62 = 15.62/x
  3. Step 3: Cross multiply
    7.61x = 15.62 × 15.62
  4. Step 4: Simplify right side
    7.61x = 243.91
  5. Step 5: Solve for x
    x = 243.91/7.61
  6. Step 6: Final answer
    x = 32.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.