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Finding the Third Proportional to 69,078 and 101,351

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Solution

The third proportional to 69,078 and 101,351 is: 148,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078 : 101,351 = 101,351 : x
  2. Step 2: Convert to fraction form
    69,078/101,351 = 101,351/x
  3. Step 3: Cross multiply
    69,078x = 101,351 × 101,351
  4. Step 4: Simplify right side
    69,078x = 10,272,025,201
  5. Step 5: Solve for x
    x = 10,272,025,201/69,078
  6. Step 6: Final answer
    x = 148,701.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.