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Finding the Third Proportional to 384,220 and 617,338

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Solution

The third proportional to 384,220 and 617,338 is: 991,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,220 : 617,338 = 617,338 : x
  2. Step 2: Convert to fraction form
    384,220/617,338 = 617,338/x
  3. Step 3: Cross multiply
    384,220x = 617,338 × 617,338
  4. Step 4: Simplify right side
    384,220x = 381,106,206,244
  5. Step 5: Solve for x
    x = 381,106,206,244/384,220
  6. Step 6: Final answer
    x = 991,895.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.