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Finding the Third Proportional to 91,407 and 203,820

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Solution

The third proportional to 91,407 and 203,820 is: 454,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,407 : 203,820 = 203,820 : x
  2. Step 2: Convert to fraction form
    91,407/203,820 = 203,820/x
  3. Step 3: Cross multiply
    91,407x = 203,820 × 203,820
  4. Step 4: Simplify right side
    91,407x = 41,542,592,400
  5. Step 5: Solve for x
    x = 41,542,592,400/91,407
  6. Step 6: Final answer
    x = 454,479.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.