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Finding the Third Proportional to 218,811.38 and 320,410.69

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Solution

The third proportional to 218,811.38 and 320,410.69 is: 469,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,811.38 : 320,410.69 = 320,410.69 : x
  2. Step 2: Convert to fraction form
    218,811.38/320,410.69 = 320,410.69/x
  3. Step 3: Cross multiply
    218,811.38x = 320,410.69 × 320,410.69
  4. Step 4: Simplify right side
    218,811.38x = 102,663,008,664.22
  5. Step 5: Solve for x
    x = 102,663,008,664.22/218,811.38
  6. Step 6: Final answer
    x = 469,184.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.