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Finding the Third Proportional to 11,616.75 and 15,116.63

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Solution

The third proportional to 11,616.75 and 15,116.63 is: 19,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.75 : 15,116.63 = 15,116.63 : x
  2. Step 2: Convert to fraction form
    11,616.75/15,116.63 = 15,116.63/x
  3. Step 3: Cross multiply
    11,616.75x = 15,116.63 × 15,116.63
  4. Step 4: Simplify right side
    11,616.75x = 228,512,351.39
  5. Step 5: Solve for x
    x = 228,512,351.39/11,616.75
  6. Step 6: Final answer
    x = 19,670.94

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.