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Finding the Third Proportional to 221,964 and 340,398

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Solution

The third proportional to 221,964 and 340,398 is: 522,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,964 : 340,398 = 340,398 : x
  2. Step 2: Convert to fraction form
    221,964/340,398 = 340,398/x
  3. Step 3: Cross multiply
    221,964x = 340,398 × 340,398
  4. Step 4: Simplify right side
    221,964x = 115,870,798,404
  5. Step 5: Solve for x
    x = 115,870,798,404/221,964
  6. Step 6: Final answer
    x = 522,025.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.