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Finding the Third Proportional to 281,099 and 617,494

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Solution

The third proportional to 281,099 and 617,494 is: 1,356,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,099 : 617,494 = 617,494 : x
  2. Step 2: Convert to fraction form
    281,099/617,494 = 617,494/x
  3. Step 3: Cross multiply
    281,099x = 617,494 × 617,494
  4. Step 4: Simplify right side
    281,099x = 381,298,840,036
  5. Step 5: Solve for x
    x = 381,298,840,036/281,099
  6. Step 6: Final answer
    x = 1,356,457.48

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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.