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Finding the Third Proportional to 19,890 and 32,211

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Solution

The third proportional to 19,890 and 32,211 is: 52,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890 : 32,211 = 32,211 : x
  2. Step 2: Convert to fraction form
    19,890/32,211 = 32,211/x
  3. Step 3: Cross multiply
    19,890x = 32,211 × 32,211
  4. Step 4: Simplify right side
    19,890x = 1,037,548,521
  5. Step 5: Solve for x
    x = 1,037,548,521/19,890
  6. Step 6: Final answer
    x = 52,164.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.