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Finding the Third Proportional to 92,770 and 202,100

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Solution

The third proportional to 92,770 and 202,100 is: 440,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,770 : 202,100 = 202,100 : x
  2. Step 2: Convert to fraction form
    92,770/202,100 = 202,100/x
  3. Step 3: Cross multiply
    92,770x = 202,100 × 202,100
  4. Step 4: Simplify right side
    92,770x = 40,844,410,000
  5. Step 5: Solve for x
    x = 40,844,410,000/92,770
  6. Step 6: Final answer
    x = 440,276.06

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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.