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Finding the Third Proportional to 221,385 and 484,324

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Solution

The third proportional to 221,385 and 484,324 is: 1,059,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,385 : 484,324 = 484,324 : x
  2. Step 2: Convert to fraction form
    221,385/484,324 = 484,324/x
  3. Step 3: Cross multiply
    221,385x = 484,324 × 484,324
  4. Step 4: Simplify right side
    221,385x = 234,569,736,976
  5. Step 5: Solve for x
    x = 234,569,736,976/221,385
  6. Step 6: Final answer
    x = 1,059,555.69

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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.