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Finding the Third Proportional to 69,387 and 163,743

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Solution

The third proportional to 69,387 and 163,743 is: 386,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,387 : 163,743 = 163,743 : x
  2. Step 2: Convert to fraction form
    69,387/163,743 = 163,743/x
  3. Step 3: Cross multiply
    69,387x = 163,743 × 163,743
  4. Step 4: Simplify right side
    69,387x = 26,811,770,049
  5. Step 5: Solve for x
    x = 26,811,770,049/69,387
  6. Step 6: Final answer
    x = 386,409.13

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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.