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Finding the Third Proportional to 221,914 and 485,345

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Solution

The third proportional to 221,914 and 485,345 is: 1,061,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,914 : 485,345 = 485,345 : x
  2. Step 2: Convert to fraction form
    221,914/485,345 = 485,345/x
  3. Step 3: Cross multiply
    221,914x = 485,345 × 485,345
  4. Step 4: Simplify right side
    221,914x = 235,559,769,025
  5. Step 5: Solve for x
    x = 235,559,769,025/221,914
  6. Step 6: Final answer
    x = 1,061,491.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.