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Finding the Third Proportional to 90,172.13 and 140,716.78

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Solution

The third proportional to 90,172.13 and 140,716.78 is: 219,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,172.13 : 140,716.78 = 140,716.78 : x
  2. Step 2: Convert to fraction form
    90,172.13/140,716.78 = 140,716.78/x
  3. Step 3: Cross multiply
    90,172.13x = 140,716.78 × 140,716.78
  4. Step 4: Simplify right side
    90,172.13x = 19,801,212,525.36
  5. Step 5: Solve for x
    x = 19,801,212,525.36/90,172.13
  6. Step 6: Final answer
    x = 219,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.