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Finding the Third Proportional to 384,209 and 617,319

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Solution

The third proportional to 384,209 and 617,319 is: 991,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,209 : 617,319 = 617,319 : x
  2. Step 2: Convert to fraction form
    384,209/617,319 = 617,319/x
  3. Step 3: Cross multiply
    384,209x = 617,319 × 617,319
  4. Step 4: Simplify right side
    384,209x = 381,082,747,761
  5. Step 5: Solve for x
    x = 381,082,747,761/384,209
  6. Step 6: Final answer
    x = 991,863.15

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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.