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Finding the Third Proportional to 77,286 and 163,017

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Solution

The third proportional to 77,286 and 163,017 is: 343,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,286 : 163,017 = 163,017 : x
  2. Step 2: Convert to fraction form
    77,286/163,017 = 163,017/x
  3. Step 3: Cross multiply
    77,286x = 163,017 × 163,017
  4. Step 4: Simplify right side
    77,286x = 26,574,542,289
  5. Step 5: Solve for x
    x = 26,574,542,289/77,286
  6. Step 6: Final answer
    x = 343,846.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.