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Finding the Third Proportional to 12,580 and 17,088

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Solution

The third proportional to 12,580 and 17,088 is: 23,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580 : 17,088 = 17,088 : x
  2. Step 2: Convert to fraction form
    12,580/17,088 = 17,088/x
  3. Step 3: Cross multiply
    12,580x = 17,088 × 17,088
  4. Step 4: Simplify right side
    12,580x = 291,999,744
  5. Step 5: Solve for x
    x = 291,999,744/12,580
  6. Step 6: Final answer
    x = 23,211.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.