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Finding the Third Proportional to 384,206 and 617,315

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Solution

The third proportional to 384,206 and 617,315 is: 991,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,206 : 617,315 = 617,315 : x
  2. Step 2: Convert to fraction form
    384,206/617,315 = 617,315/x
  3. Step 3: Cross multiply
    384,206x = 617,315 × 617,315
  4. Step 4: Simplify right side
    384,206x = 381,077,809,225
  5. Step 5: Solve for x
    x = 381,077,809,225/384,206
  6. Step 6: Final answer
    x = 991,858.04

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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.