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Finding the Third Proportional to 328,230 and 706,680

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Solution

The third proportional to 328,230 and 706,680 is: 1,521,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,230 : 706,680 = 706,680 : x
  2. Step 2: Convert to fraction form
    328,230/706,680 = 706,680/x
  3. Step 3: Cross multiply
    328,230x = 706,680 × 706,680
  4. Step 4: Simplify right side
    328,230x = 499,396,622,400
  5. Step 5: Solve for x
    x = 499,396,622,400/328,230
  6. Step 6: Final answer
    x = 1,521,483.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.