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Finding the Third Proportional to 426,818 and 915,844

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Solution

The third proportional to 426,818 and 915,844 is: 1,965,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,818 : 915,844 = 915,844 : x
  2. Step 2: Convert to fraction form
    426,818/915,844 = 915,844/x
  3. Step 3: Cross multiply
    426,818x = 915,844 × 915,844
  4. Step 4: Simplify right side
    426,818x = 838,770,232,336
  5. Step 5: Solve for x
    x = 838,770,232,336/426,818
  6. Step 6: Final answer
    x = 1,965,170.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.