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Finding the Third Proportional to 21,969 and 34,047

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Solution

The third proportional to 21,969 and 34,047 is: 52,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 34,047 = 34,047 : x
  2. Step 2: Convert to fraction form
    21,969/34,047 = 34,047/x
  3. Step 3: Cross multiply
    21,969x = 34,047 × 34,047
  4. Step 4: Simplify right side
    21,969x = 1,159,198,209
  5. Step 5: Solve for x
    x = 1,159,198,209/21,969
  6. Step 6: Final answer
    x = 52,765.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.