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Finding the Third Proportional to 29,569 and 68,381

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Solution

The third proportional to 29,569 and 68,381 is: 158,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,569 : 68,381 = 68,381 : x
  2. Step 2: Convert to fraction form
    29,569/68,381 = 68,381/x
  3. Step 3: Cross multiply
    29,569x = 68,381 × 68,381
  4. Step 4: Simplify right side
    29,569x = 4,675,961,161
  5. Step 5: Solve for x
    x = 4,675,961,161/29,569
  6. Step 6: Final answer
    x = 158,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.