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Finding the Third Proportional to 11,259 and 13,486.50

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Solution

The third proportional to 11,259 and 13,486.50 is: 16,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 13,486.50 = 13,486.50 : x
  2. Step 2: Convert to fraction form
    11,259/13,486.50 = 13,486.50/x
  3. Step 3: Cross multiply
    11,259x = 13,486.50 × 13,486.50
  4. Step 4: Simplify right side
    11,259x = 181,885,682.25
  5. Step 5: Solve for x
    x = 181,885,682.25/11,259
  6. Step 6: Final answer
    x = 16,154.69

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.