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Finding the Third Proportional to 265,398 and 410,949

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Solution

The third proportional to 265,398 and 410,949 is: 636,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,398 : 410,949 = 410,949 : x
  2. Step 2: Convert to fraction form
    265,398/410,949 = 410,949/x
  3. Step 3: Cross multiply
    265,398x = 410,949 × 410,949
  4. Step 4: Simplify right side
    265,398x = 168,879,080,601
  5. Step 5: Solve for x
    x = 168,879,080,601/265,398
  6. Step 6: Final answer
    x = 636,323.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.