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Finding the Third Proportional to 78,106.78 and 118,255.78

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Solution

The third proportional to 78,106.78 and 118,255.78 is: 179,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.78 : 118,255.78 = 118,255.78 : x
  2. Step 2: Convert to fraction form
    78,106.78/118,255.78 = 118,255.78/x
  3. Step 3: Cross multiply
    78,106.78x = 118,255.78 × 118,255.78
  4. Step 4: Simplify right side
    78,106.78x = 13,984,429,799.05
  5. Step 5: Solve for x
    x = 13,984,429,799.05/78,106.78
  6. Step 6: Final answer
    x = 179,042.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.