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Finding the Third Proportional to 209,468 and 388,318

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Solution

The third proportional to 209,468 and 388,318 is: 719,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,468 : 388,318 = 388,318 : x
  2. Step 2: Convert to fraction form
    209,468/388,318 = 388,318/x
  3. Step 3: Cross multiply
    209,468x = 388,318 × 388,318
  4. Step 4: Simplify right side
    209,468x = 150,790,869,124
  5. Step 5: Solve for x
    x = 150,790,869,124/209,468
  6. Step 6: Final answer
    x = 719,875.44

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.