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Finding the Third Proportional to 92,540 and 201,832

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Solution

The third proportional to 92,540 and 201,832 is: 440,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,540 : 201,832 = 201,832 : x
  2. Step 2: Convert to fraction form
    92,540/201,832 = 201,832/x
  3. Step 3: Cross multiply
    92,540x = 201,832 × 201,832
  4. Step 4: Simplify right side
    92,540x = 40,736,156,224
  5. Step 5: Solve for x
    x = 40,736,156,224/92,540
  6. Step 6: Final answer
    x = 440,200.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.