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Finding the Third Proportional to 270,768 and 396,915

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Solution

The third proportional to 270,768 and 396,915 is: 581,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,768 : 396,915 = 396,915 : x
  2. Step 2: Convert to fraction form
    270,768/396,915 = 396,915/x
  3. Step 3: Cross multiply
    270,768x = 396,915 × 396,915
  4. Step 4: Simplify right side
    270,768x = 157,541,517,225
  5. Step 5: Solve for x
    x = 157,541,517,225/270,768
  6. Step 6: Final answer
    x = 581,832.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.