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Finding the Third Proportional to 69,381 and 104,559

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Solution

The third proportional to 69,381 and 104,559 is: 157,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,381 : 104,559 = 104,559 : x
  2. Step 2: Convert to fraction form
    69,381/104,559 = 104,559/x
  3. Step 3: Cross multiply
    69,381x = 104,559 × 104,559
  4. Step 4: Simplify right side
    69,381x = 10,932,584,481
  5. Step 5: Solve for x
    x = 10,932,584,481/69,381
  6. Step 6: Final answer
    x = 157,573.18

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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.