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Finding the Third Proportional to 395,853.75 and 853,915.50

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Solution

The third proportional to 395,853.75 and 853,915.50 is: 1,842,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,853.75 : 853,915.50 = 853,915.50 : x
  2. Step 2: Convert to fraction form
    395,853.75/853,915.50 = 853,915.50/x
  3. Step 3: Cross multiply
    395,853.75x = 853,915.50 × 853,915.50
  4. Step 4: Simplify right side
    395,853.75x = 729,171,681,140.25
  5. Step 5: Solve for x
    x = 729,171,681,140.25/395,853.75
  6. Step 6: Final answer
    x = 1,842,022.92

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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.