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Finding the Third Proportional to 10,100.64 and 18,279.11

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Solution

The third proportional to 10,100.64 and 18,279.11 is: 33,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.64 : 18,279.11 = 18,279.11 : x
  2. Step 2: Convert to fraction form
    10,100.64/18,279.11 = 18,279.11/x
  3. Step 3: Cross multiply
    10,100.64x = 18,279.11 × 18,279.11
  4. Step 4: Simplify right side
    10,100.64x = 334,125,696.74
  5. Step 5: Solve for x
    x = 334,125,696.74/10,100.64
  6. Step 6: Final answer
    x = 33,079.67

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.