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Finding the Third Proportional to 45,208 and 68,142

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Solution

The third proportional to 45,208 and 68,142 is: 102,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208 : 68,142 = 68,142 : x
  2. Step 2: Convert to fraction form
    45,208/68,142 = 68,142/x
  3. Step 3: Cross multiply
    45,208x = 68,142 × 68,142
  4. Step 4: Simplify right side
    45,208x = 4,643,332,164
  5. Step 5: Solve for x
    x = 4,643,332,164/45,208
  6. Step 6: Final answer
    x = 102,710.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.