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Finding the Third Proportional to 328,571 and 706,206

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Solution

The third proportional to 328,571 and 706,206 is: 1,517,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,571 : 706,206 = 706,206 : x
  2. Step 2: Convert to fraction form
    328,571/706,206 = 706,206/x
  3. Step 3: Cross multiply
    328,571x = 706,206 × 706,206
  4. Step 4: Simplify right side
    328,571x = 498,726,914,436
  5. Step 5: Solve for x
    x = 498,726,914,436/328,571
  6. Step 6: Final answer
    x = 1,517,866.50

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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.