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Finding the Third Proportional to 246,468 and 396,810

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Solution

The third proportional to 246,468 and 396,810 is: 638,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,468 : 396,810 = 396,810 : x
  2. Step 2: Convert to fraction form
    246,468/396,810 = 396,810/x
  3. Step 3: Cross multiply
    246,468x = 396,810 × 396,810
  4. Step 4: Simplify right side
    246,468x = 157,458,176,100
  5. Step 5: Solve for x
    x = 157,458,176,100/246,468
  6. Step 6: Final answer
    x = 638,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.