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Finding the Third Proportional to 19.88 and 30.56

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Solution

The third proportional to 19.88 and 30.56 is: 47.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.88 : 30.56 = 30.56 : x
  2. Step 2: Convert to fraction form
    19.88/30.56 = 30.56/x
  3. Step 3: Cross multiply
    19.88x = 30.56 × 30.56
  4. Step 4: Simplify right side
    19.88x = 934.07
  5. Step 5: Solve for x
    x = 934.07/19.88
  6. Step 6: Final answer
    x = 47.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.