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Finding the Third Proportional to 285,150.38 and 398,661.75

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Solution

The third proportional to 285,150.38 and 398,661.75 is: 557,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,150.38 : 398,661.75 = 398,661.75 : x
  2. Step 2: Convert to fraction form
    285,150.38/398,661.75 = 398,661.75/x
  3. Step 3: Cross multiply
    285,150.38x = 398,661.75 × 398,661.75
  4. Step 4: Simplify right side
    285,150.38x = 158,931,190,913.06
  5. Step 5: Solve for x
    x = 158,931,190,913.06/285,150.38
  6. Step 6: Final answer
    x = 557,359.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.