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Finding the Third Proportional to 92,112 and 202,780

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Solution

The third proportional to 92,112 and 202,780 is: 446,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,112 : 202,780 = 202,780 : x
  2. Step 2: Convert to fraction form
    92,112/202,780 = 202,780/x
  3. Step 3: Cross multiply
    92,112x = 202,780 × 202,780
  4. Step 4: Simplify right side
    92,112x = 41,119,728,400
  5. Step 5: Solve for x
    x = 41,119,728,400/92,112
  6. Step 6: Final answer
    x = 446,410.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.