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Finding the Third Proportional to 10,890 and 11,970

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Solution

The third proportional to 10,890 and 11,970 is: 13,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890 : 11,970 = 11,970 : x
  2. Step 2: Convert to fraction form
    10,890/11,970 = 11,970/x
  3. Step 3: Cross multiply
    10,890x = 11,970 × 11,970
  4. Step 4: Simplify right side
    10,890x = 143,280,900
  5. Step 5: Solve for x
    x = 143,280,900/10,890
  6. Step 6: Final answer
    x = 13,157.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.