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Finding the Third Proportional to 5,580 and 13,122

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Solution

The third proportional to 5,580 and 13,122 is: 30,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580 : 13,122 = 13,122 : x
  2. Step 2: Convert to fraction form
    5,580/13,122 = 13,122/x
  3. Step 3: Cross multiply
    5,580x = 13,122 × 13,122
  4. Step 4: Simplify right side
    5,580x = 172,186,884
  5. Step 5: Solve for x
    x = 172,186,884/5,580
  6. Step 6: Final answer
    x = 30,857.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.