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Finding the Third Proportional to 79,400.25 and 165,334.50

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Solution

The third proportional to 79,400.25 and 165,334.50 is: 344,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,400.25 : 165,334.50 = 165,334.50 : x
  2. Step 2: Convert to fraction form
    79,400.25/165,334.50 = 165,334.50/x
  3. Step 3: Cross multiply
    79,400.25x = 165,334.50 × 165,334.50
  4. Step 4: Simplify right side
    79,400.25x = 27,335,496,890.25
  5. Step 5: Solve for x
    x = 27,335,496,890.25/79,400.25
  6. Step 6: Final answer
    x = 344,274.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.