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Finding the Third Proportional to 206,960 and 328,260

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Solution

The third proportional to 206,960 and 328,260 is: 520,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960 : 328,260 = 328,260 : x
  2. Step 2: Convert to fraction form
    206,960/328,260 = 328,260/x
  3. Step 3: Cross multiply
    206,960x = 328,260 × 328,260
  4. Step 4: Simplify right side
    206,960x = 107,754,627,600
  5. Step 5: Solve for x
    x = 107,754,627,600/206,960
  6. Step 6: Final answer
    x = 520,654.37

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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.