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Finding the Third Proportional to 168,835 and 398,543

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Solution

The third proportional to 168,835 and 398,543 is: 940,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,835 : 398,543 = 398,543 : x
  2. Step 2: Convert to fraction form
    168,835/398,543 = 398,543/x
  3. Step 3: Cross multiply
    168,835x = 398,543 × 398,543
  4. Step 4: Simplify right side
    168,835x = 158,836,522,849
  5. Step 5: Solve for x
    x = 158,836,522,849/168,835
  6. Step 6: Final answer
    x = 940,779.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.