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Finding the Third Proportional to 69,382 and 163,731

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Solution

The third proportional to 69,382 and 163,731 is: 386,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382 : 163,731 = 163,731 : x
  2. Step 2: Convert to fraction form
    69,382/163,731 = 163,731/x
  3. Step 3: Cross multiply
    69,382x = 163,731 × 163,731
  4. Step 4: Simplify right side
    69,382x = 26,807,840,361
  5. Step 5: Solve for x
    x = 26,807,840,361/69,382
  6. Step 6: Final answer
    x = 386,380.33

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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.