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Finding the Third Proportional to 203,937.75 and 309,870.56

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Solution

The third proportional to 203,937.75 and 309,870.56 is: 470,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,937.75 : 309,870.56 = 309,870.56 : x
  2. Step 2: Convert to fraction form
    203,937.75/309,870.56 = 309,870.56/x
  3. Step 3: Cross multiply
    203,937.75x = 309,870.56 × 309,870.56
  4. Step 4: Simplify right side
    203,937.75x = 96,019,765,504.07
  5. Step 5: Solve for x
    x = 96,019,765,504.07/203,937.75
  6. Step 6: Final answer
    x = 470,828.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.