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Finding the Third Proportional to 92,483 and 202,087

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Solution

The third proportional to 92,483 and 202,087 is: 441,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,483 : 202,087 = 202,087 : x
  2. Step 2: Convert to fraction form
    92,483/202,087 = 202,087/x
  3. Step 3: Cross multiply
    92,483x = 202,087 × 202,087
  4. Step 4: Simplify right side
    92,483x = 40,839,155,569
  5. Step 5: Solve for x
    x = 40,839,155,569/92,483
  6. Step 6: Final answer
    x = 441,585.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.