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Finding the Third Proportional to 68,850 and 109,215

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Solution

The third proportional to 68,850 and 109,215 is: 173,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,850 : 109,215 = 109,215 : x
  2. Step 2: Convert to fraction form
    68,850/109,215 = 109,215/x
  3. Step 3: Cross multiply
    68,850x = 109,215 × 109,215
  4. Step 4: Simplify right side
    68,850x = 11,927,916,225
  5. Step 5: Solve for x
    x = 11,927,916,225/68,850
  6. Step 6: Final answer
    x = 173,244.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.