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Finding the Third Proportional to 100,392 and 133,841.25

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Solution

The third proportional to 100,392 and 133,841.25 is: 178,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392 : 133,841.25 = 133,841.25 : x
  2. Step 2: Convert to fraction form
    100,392/133,841.25 = 133,841.25/x
  3. Step 3: Cross multiply
    100,392x = 133,841.25 × 133,841.25
  4. Step 4: Simplify right side
    100,392x = 17,913,480,201.56
  5. Step 5: Solve for x
    x = 17,913,480,201.56/100,392
  6. Step 6: Final answer
    x = 178,435.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.