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Finding the Third Proportional to 218,216 and 328,134

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Solution

The third proportional to 218,216 and 328,134 is: 493,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,216 : 328,134 = 328,134 : x
  2. Step 2: Convert to fraction form
    218,216/328,134 = 328,134/x
  3. Step 3: Cross multiply
    218,216x = 328,134 × 328,134
  4. Step 4: Simplify right side
    218,216x = 107,671,921,956
  5. Step 5: Solve for x
    x = 107,671,921,956/218,216
  6. Step 6: Final answer
    x = 493,419.01

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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.