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Finding the Third Proportional to 218,256 and 328,194

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Solution

The third proportional to 218,256 and 328,194 is: 493,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,256 : 328,194 = 328,194 : x
  2. Step 2: Convert to fraction form
    218,256/328,194 = 328,194/x
  3. Step 3: Cross multiply
    218,256x = 328,194 × 328,194
  4. Step 4: Simplify right side
    218,256x = 107,711,301,636
  5. Step 5: Solve for x
    x = 107,711,301,636/218,256
  6. Step 6: Final answer
    x = 493,509.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.