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Finding the Third Proportional to 92,481 and 202,083

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Solution

The third proportional to 92,481 and 202,083 is: 441,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,481 : 202,083 = 202,083 : x
  2. Step 2: Convert to fraction form
    92,481/202,083 = 202,083/x
  3. Step 3: Cross multiply
    92,481x = 202,083 × 202,083
  4. Step 4: Simplify right side
    92,481x = 40,837,538,889
  5. Step 5: Solve for x
    x = 40,837,538,889/92,481
  6. Step 6: Final answer
    x = 441,577.61

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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.