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Finding the Third Proportional to 206,956 and 328,254

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Solution

The third proportional to 206,956 and 328,254 is: 520,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,956 : 328,254 = 328,254 : x
  2. Step 2: Convert to fraction form
    206,956/328,254 = 328,254/x
  3. Step 3: Cross multiply
    206,956x = 328,254 × 328,254
  4. Step 4: Simplify right side
    206,956x = 107,750,688,516
  5. Step 5: Solve for x
    x = 107,750,688,516/206,956
  6. Step 6: Final answer
    x = 520,645.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.