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Finding the Third Proportional to 19.76 and 29.90

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Solution

The third proportional to 19.76 and 29.90 is: 45.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.76 : 29.90 = 29.90 : x
  2. Step 2: Convert to fraction form
    19.76/29.90 = 29.90/x
  3. Step 3: Cross multiply
    19.76x = 29.90 × 29.90
  4. Step 4: Simplify right side
    19.76x = 894.03
  5. Step 5: Solve for x
    x = 894.03/19.76
  6. Step 6: Final answer
    x = 45.25

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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.