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Finding the Third Proportional to 69,078 and 148,660.50

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Solution

The third proportional to 69,078 and 148,660.50 is: 319,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078 : 148,660.50 = 148,660.50 : x
  2. Step 2: Convert to fraction form
    69,078/148,660.50 = 148,660.50/x
  3. Step 3: Cross multiply
    69,078x = 148,660.50 × 148,660.50
  4. Step 4: Simplify right side
    69,078x = 22,099,944,260.25
  5. Step 5: Solve for x
    x = 22,099,944,260.25/69,078
  6. Step 6: Final answer
    x = 319,927.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.