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Finding the Third Proportional to 11,559 and 13,260

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Solution

The third proportional to 11,559 and 13,260 is: 15,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 13,260 = 13,260 : x
  2. Step 2: Convert to fraction form
    11,559/13,260 = 13,260/x
  3. Step 3: Cross multiply
    11,559x = 13,260 × 13,260
  4. Step 4: Simplify right side
    11,559x = 175,827,600
  5. Step 5: Solve for x
    x = 175,827,600/11,559
  6. Step 6: Final answer
    x = 15,211.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.