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Finding the Third Proportional to 69,276 and 104,538

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Solution

The third proportional to 69,276 and 104,538 is: 157,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 104,538 = 104,538 : x
  2. Step 2: Convert to fraction form
    69,276/104,538 = 104,538/x
  3. Step 3: Cross multiply
    69,276x = 104,538 × 104,538
  4. Step 4: Simplify right side
    69,276x = 10,928,193,444
  5. Step 5: Solve for x
    x = 10,928,193,444/69,276
  6. Step 6: Final answer
    x = 157,748.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.