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Finding the Third Proportional to 42,800 and 92,728

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Solution

The third proportional to 42,800 and 92,728 is: 200,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800 : 92,728 = 92,728 : x
  2. Step 2: Convert to fraction form
    42,800/92,728 = 92,728/x
  3. Step 3: Cross multiply
    42,800x = 92,728 × 92,728
  4. Step 4: Simplify right side
    42,800x = 8,598,481,984
  5. Step 5: Solve for x
    x = 8,598,481,984/42,800
  6. Step 6: Final answer
    x = 200,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.