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Finding the Third Proportional to 78,871.54 and 171,121.36

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Solution

The third proportional to 78,871.54 and 171,121.36 is: 371,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,871.54 : 171,121.36 = 171,121.36 : x
  2. Step 2: Convert to fraction form
    78,871.54/171,121.36 = 171,121.36/x
  3. Step 3: Cross multiply
    78,871.54x = 171,121.36 × 171,121.36
  4. Step 4: Simplify right side
    78,871.54x = 29,282,519,634.35
  5. Step 5: Solve for x
    x = 29,282,519,634.35/78,871.54
  6. Step 6: Final answer
    x = 371,268.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.