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Finding the Third Proportional to 281,491 and 414,817

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Solution

The third proportional to 281,491 and 414,817 is: 611,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491 : 414,817 = 414,817 : x
  2. Step 2: Convert to fraction form
    281,491/414,817 = 414,817/x
  3. Step 3: Cross multiply
    281,491x = 414,817 × 414,817
  4. Step 4: Simplify right side
    281,491x = 172,073,143,489
  5. Step 5: Solve for x
    x = 172,073,143,489/281,491
  6. Step 6: Final answer
    x = 611,291.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.