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Finding the Third Proportional to 69,380 and 163,726

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Solution

The third proportional to 69,380 and 163,726 is: 386,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,380 : 163,726 = 163,726 : x
  2. Step 2: Convert to fraction form
    69,380/163,726 = 163,726/x
  3. Step 3: Cross multiply
    69,380x = 163,726 × 163,726
  4. Step 4: Simplify right side
    69,380x = 26,806,203,076
  5. Step 5: Solve for x
    x = 26,806,203,076/69,380
  6. Step 6: Final answer
    x = 386,367.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.