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Finding the Third Proportional to 15,118 and 23,221

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Solution

The third proportional to 15,118 and 23,221 is: 35,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,118 : 23,221 = 23,221 : x
  2. Step 2: Convert to fraction form
    15,118/23,221 = 23,221/x
  3. Step 3: Cross multiply
    15,118x = 23,221 × 23,221
  4. Step 4: Simplify right side
    15,118x = 539,214,841
  5. Step 5: Solve for x
    x = 539,214,841/15,118
  6. Step 6: Final answer
    x = 35,667.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.