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Finding the Third Proportional to 78,374.25 and 166,863.38

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Solution

The third proportional to 78,374.25 and 166,863.38 is: 355,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.25 : 166,863.38 = 166,863.38 : x
  2. Step 2: Convert to fraction form
    78,374.25/166,863.38 = 166,863.38/x
  3. Step 3: Cross multiply
    78,374.25x = 166,863.38 × 166,863.38
  4. Step 4: Simplify right side
    78,374.25x = 27,843,385,916.39
  5. Step 5: Solve for x
    x = 27,843,385,916.39/78,374.25
  6. Step 6: Final answer
    x = 355,261.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.