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Finding the Third Proportional to 243,206 and 388,520

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Solution

The third proportional to 243,206 and 388,520 is: 620,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,206 : 388,520 = 388,520 : x
  2. Step 2: Convert to fraction form
    243,206/388,520 = 388,520/x
  3. Step 3: Cross multiply
    243,206x = 388,520 × 388,520
  4. Step 4: Simplify right side
    243,206x = 150,947,790,400
  5. Step 5: Solve for x
    x = 150,947,790,400/243,206
  6. Step 6: Final answer
    x = 620,658.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.