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Finding the Third Proportional to 209,536 and 388,432

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Solution

The third proportional to 209,536 and 388,432 is: 720,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536 : 388,432 = 388,432 : x
  2. Step 2: Convert to fraction form
    209,536/388,432 = 388,432/x
  3. Step 3: Cross multiply
    209,536x = 388,432 × 388,432
  4. Step 4: Simplify right side
    209,536x = 150,879,418,624
  5. Step 5: Solve for x
    x = 150,879,418,624/209,536
  6. Step 6: Final answer
    x = 720,064.42

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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.