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Finding the Third Proportional to 69,286 and 145,538

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Solution

The third proportional to 69,286 and 145,538 is: 305,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,286 : 145,538 = 145,538 : x
  2. Step 2: Convert to fraction form
    69,286/145,538 = 145,538/x
  3. Step 3: Cross multiply
    69,286x = 145,538 × 145,538
  4. Step 4: Simplify right side
    69,286x = 21,181,309,444
  5. Step 5: Solve for x
    x = 21,181,309,444/69,286
  6. Step 6: Final answer
    x = 305,708.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.