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Finding the Third Proportional to 85,220 and 185,821

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Solution

The third proportional to 85,220 and 185,821 is: 405,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,220 : 185,821 = 185,821 : x
  2. Step 2: Convert to fraction form
    85,220/185,821 = 185,821/x
  3. Step 3: Cross multiply
    85,220x = 185,821 × 185,821
  4. Step 4: Simplify right side
    85,220x = 34,529,444,041
  5. Step 5: Solve for x
    x = 34,529,444,041/85,220
  6. Step 6: Final answer
    x = 405,180.05

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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.