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Finding the Third Proportional to 285,105 and 617,264

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Solution

The third proportional to 285,105 and 617,264 is: 1,336,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,105 : 617,264 = 617,264 : x
  2. Step 2: Convert to fraction form
    285,105/617,264 = 617,264/x
  3. Step 3: Cross multiply
    285,105x = 617,264 × 617,264
  4. Step 4: Simplify right side
    285,105x = 381,014,845,696
  5. Step 5: Solve for x
    x = 381,014,845,696/285,105
  6. Step 6: Final answer
    x = 1,336,401.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.