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Finding the Third Proportional to 21,909 and 34,737

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Solution

The third proportional to 21,909 and 34,737 is: 55,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909 : 34,737 = 34,737 : x
  2. Step 2: Convert to fraction form
    21,909/34,737 = 34,737/x
  3. Step 3: Cross multiply
    21,909x = 34,737 × 34,737
  4. Step 4: Simplify right side
    21,909x = 1,206,659,169
  5. Step 5: Solve for x
    x = 1,206,659,169/21,909
  6. Step 6: Final answer
    x = 55,075.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.