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Finding the Third Proportional to 31.64 and 47.78

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Solution

The third proportional to 31.64 and 47.78 is: 72.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 47.78 = 47.78 : x
  2. Step 2: Convert to fraction form
    31.64/47.78 = 47.78/x
  3. Step 3: Cross multiply
    31.64x = 47.78 × 47.78
  4. Step 4: Simplify right side
    31.64x = 2,282.67
  5. Step 5: Solve for x
    x = 2,282.67/31.64
  6. Step 6: Final answer
    x = 72.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.