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Finding the Third Proportional to 57,800 and 108,688

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Solution

The third proportional to 57,800 and 108,688 is: 204,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,800 : 108,688 = 108,688 : x
  2. Step 2: Convert to fraction form
    57,800/108,688 = 108,688/x
  3. Step 3: Cross multiply
    57,800x = 108,688 × 108,688
  4. Step 4: Simplify right side
    57,800x = 11,813,081,344
  5. Step 5: Solve for x
    x = 11,813,081,344/57,800
  6. Step 6: Final answer
    x = 204,378.57

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.