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Finding the Third Proportional to 17,981 and 27,603

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Solution

The third proportional to 17,981 and 27,603 is: 42,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981 : 27,603 = 27,603 : x
  2. Step 2: Convert to fraction form
    17,981/27,603 = 27,603/x
  3. Step 3: Cross multiply
    17,981x = 27,603 × 27,603
  4. Step 4: Simplify right side
    17,981x = 761,925,609
  5. Step 5: Solve for x
    x = 761,925,609/17,981
  6. Step 6: Final answer
    x = 42,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.