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Finding the Third Proportional to 13,759 and 21,461

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Solution

The third proportional to 13,759 and 21,461 is: 33,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759 : 21,461 = 21,461 : x
  2. Step 2: Convert to fraction form
    13,759/21,461 = 21,461/x
  3. Step 3: Cross multiply
    13,759x = 21,461 × 21,461
  4. Step 4: Simplify right side
    13,759x = 460,574,521
  5. Step 5: Solve for x
    x = 460,574,521/13,759
  6. Step 6: Final answer
    x = 33,474.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.