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Finding the Third Proportional to 153,933 and 324,543

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Solution

The third proportional to 153,933 and 324,543 is: 684,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,933 : 324,543 = 324,543 : x
  2. Step 2: Convert to fraction form
    153,933/324,543 = 324,543/x
  3. Step 3: Cross multiply
    153,933x = 324,543 × 324,543
  4. Step 4: Simplify right side
    153,933x = 105,328,158,849
  5. Step 5: Solve for x
    x = 105,328,158,849/153,933
  6. Step 6: Final answer
    x = 684,246.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.