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Finding the Third Proportional to 68,108 and 112,557

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Solution

The third proportional to 68,108 and 112,557 is: 186,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108 : 112,557 = 112,557 : x
  2. Step 2: Convert to fraction form
    68,108/112,557 = 112,557/x
  3. Step 3: Cross multiply
    68,108x = 112,557 × 112,557
  4. Step 4: Simplify right side
    68,108x = 12,669,078,249
  5. Step 5: Solve for x
    x = 12,669,078,249/68,108
  6. Step 6: Final answer
    x = 186,014.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.