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Finding the Third Proportional to 13,999 and 30,565

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Solution

The third proportional to 13,999 and 30,565 is: 66,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999 : 30,565 = 30,565 : x
  2. Step 2: Convert to fraction form
    13,999/30,565 = 30,565/x
  3. Step 3: Cross multiply
    13,999x = 30,565 × 30,565
  4. Step 4: Simplify right side
    13,999x = 934,219,225
  5. Step 5: Solve for x
    x = 934,219,225/13,999
  6. Step 6: Final answer
    x = 66,734.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.