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Finding the Third Proportional to 100,672.13 and 140,819.81

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Solution

The third proportional to 100,672.13 and 140,819.81 is: 196,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,672.13 : 140,819.81 = 140,819.81 : x
  2. Step 2: Convert to fraction form
    100,672.13/140,819.81 = 140,819.81/x
  3. Step 3: Cross multiply
    100,672.13x = 140,819.81 × 140,819.81
  4. Step 4: Simplify right side
    100,672.13x = 19,830,219,592.54
  5. Step 5: Solve for x
    x = 19,830,219,592.54/100,672.13
  6. Step 6: Final answer
    x = 196,978.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.