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Finding the Third Proportional to 384,213 and 617,325

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Solution

The third proportional to 384,213 and 617,325 is: 991,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,213 : 617,325 = 617,325 : x
  2. Step 2: Convert to fraction form
    384,213/617,325 = 617,325/x
  3. Step 3: Cross multiply
    384,213x = 617,325 × 617,325
  4. Step 4: Simplify right side
    384,213x = 381,090,155,625
  5. Step 5: Solve for x
    x = 381,090,155,625/384,213
  6. Step 6: Final answer
    x = 991,872.10

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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.