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Finding the Third Proportional to 17,172 and 23,220

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Solution

The third proportional to 17,172 and 23,220 is: 31,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172 : 23,220 = 23,220 : x
  2. Step 2: Convert to fraction form
    17,172/23,220 = 23,220/x
  3. Step 3: Cross multiply
    17,172x = 23,220 × 23,220
  4. Step 4: Simplify right side
    17,172x = 539,168,400
  5. Step 5: Solve for x
    x = 539,168,400/17,172
  6. Step 6: Final answer
    x = 31,398.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.