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Finding the Third Proportional to 21,890 and 34,013

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Solution

The third proportional to 21,890 and 34,013 is: 52,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890 : 34,013 = 34,013 : x
  2. Step 2: Convert to fraction form
    21,890/34,013 = 34,013/x
  3. Step 3: Cross multiply
    21,890x = 34,013 × 34,013
  4. Step 4: Simplify right side
    21,890x = 1,156,884,169
  5. Step 5: Solve for x
    x = 1,156,884,169/21,890
  6. Step 6: Final answer
    x = 52,849.89

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Why These Related Problems?

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