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Finding the Third Proportional to 17,968 and 38,731

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Solution

The third proportional to 17,968 and 38,731 is: 83,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968 : 38,731 = 38,731 : x
  2. Step 2: Convert to fraction form
    17,968/38,731 = 38,731/x
  3. Step 3: Cross multiply
    17,968x = 38,731 × 38,731
  4. Step 4: Simplify right side
    17,968x = 1,500,090,361
  5. Step 5: Solve for x
    x = 1,500,090,361/17,968
  6. Step 6: Final answer
    x = 83,486.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.