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Finding the Third Proportional to 384,218 and 617,335

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Solution

The third proportional to 384,218 and 617,335 is: 991,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,218 : 617,335 = 617,335 : x
  2. Step 2: Convert to fraction form
    384,218/617,335 = 617,335/x
  3. Step 3: Cross multiply
    384,218x = 617,335 × 617,335
  4. Step 4: Simplify right side
    384,218x = 381,102,502,225
  5. Step 5: Solve for x
    x = 381,102,502,225/384,218
  6. Step 6: Final answer
    x = 991,891.33

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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.