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Finding the Third Proportional to 201,287.53 and 434,101.78

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Solution

The third proportional to 201,287.53 and 434,101.78 is: 936,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287.53 : 434,101.78 = 434,101.78 : x
  2. Step 2: Convert to fraction form
    201,287.53/434,101.78 = 434,101.78/x
  3. Step 3: Cross multiply
    201,287.53x = 434,101.78 × 434,101.78
  4. Step 4: Simplify right side
    201,287.53x = 188,444,356,484.42
  5. Step 5: Solve for x
    x = 188,444,356,484.42/201,287.53
  6. Step 6: Final answer
    x = 936,194.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.