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Finding the Third Proportional to 69,278 and 104,542

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Solution

The third proportional to 69,278 and 104,542 is: 157,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,278 : 104,542 = 104,542 : x
  2. Step 2: Convert to fraction form
    69,278/104,542 = 104,542/x
  3. Step 3: Cross multiply
    69,278x = 104,542 × 104,542
  4. Step 4: Simplify right side
    69,278x = 10,929,029,764
  5. Step 5: Solve for x
    x = 10,929,029,764/69,278
  6. Step 6: Final answer
    x = 157,756.14

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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.