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Finding the Third Proportional to 78,240.78 and 168,629.66

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Solution

The third proportional to 78,240.78 and 168,629.66 is: 363,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.78 : 168,629.66 = 168,629.66 : x
  2. Step 2: Convert to fraction form
    78,240.78/168,629.66 = 168,629.66/x
  3. Step 3: Cross multiply
    78,240.78x = 168,629.66 × 168,629.66
  4. Step 4: Simplify right side
    78,240.78x = 28,435,962,284.41
  5. Step 5: Solve for x
    x = 28,435,962,284.41/78,240.78
  6. Step 6: Final answer
    x = 363,441.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.