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Finding the Third Proportional to 92,781 and 202,410

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Solution

The third proportional to 92,781 and 202,410 is: 441,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,781 : 202,410 = 202,410 : x
  2. Step 2: Convert to fraction form
    92,781/202,410 = 202,410/x
  3. Step 3: Cross multiply
    92,781x = 202,410 × 202,410
  4. Step 4: Simplify right side
    92,781x = 40,969,808,100
  5. Step 5: Solve for x
    x = 40,969,808,100/92,781
  6. Step 6: Final answer
    x = 441,575.41

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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.