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Finding the Third Proportional to 281,098 and 617,492

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Solution

The third proportional to 281,098 and 617,492 is: 1,356,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,098 : 617,492 = 617,492 : x
  2. Step 2: Convert to fraction form
    281,098/617,492 = 617,492/x
  3. Step 3: Cross multiply
    281,098x = 617,492 × 617,492
  4. Step 4: Simplify right side
    281,098x = 381,296,370,064
  5. Step 5: Solve for x
    x = 381,296,370,064/281,098
  6. Step 6: Final answer
    x = 1,356,453.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.