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Finding the Third Proportional to 39,236 and 89,642

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Solution

The third proportional to 39,236 and 89,642 is: 204,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,236 : 89,642 = 89,642 : x
  2. Step 2: Convert to fraction form
    39,236/89,642 = 89,642/x
  3. Step 3: Cross multiply
    39,236x = 89,642 × 89,642
  4. Step 4: Simplify right side
    39,236x = 8,035,688,164
  5. Step 5: Solve for x
    x = 8,035,688,164/39,236
  6. Step 6: Final answer
    x = 204,803.96

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.