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Finding the Third Proportional to 19.83 and 29.22

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Solution

The third proportional to 19.83 and 29.22 is: 43.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.83 : 29.22 = 29.22 : x
  2. Step 2: Convert to fraction form
    19.83/29.22 = 29.22/x
  3. Step 3: Cross multiply
    19.83x = 29.22 × 29.22
  4. Step 4: Simplify right side
    19.83x = 853.97
  5. Step 5: Solve for x
    x = 853.97/19.83
  6. Step 6: Final answer
    x = 43.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.