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Finding the Third Proportional to 68,578 and 103,596

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Solution

The third proportional to 68,578 and 103,596 is: 156,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,578 : 103,596 = 103,596 : x
  2. Step 2: Convert to fraction form
    68,578/103,596 = 103,596/x
  3. Step 3: Cross multiply
    68,578x = 103,596 × 103,596
  4. Step 4: Simplify right side
    68,578x = 10,732,131,216
  5. Step 5: Solve for x
    x = 10,732,131,216/68,578
  6. Step 6: Final answer
    x = 156,495.25

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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.