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Finding the Third Proportional to 221,640 and 534,352

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Solution

The third proportional to 221,640 and 534,352 is: 1,288,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640 : 534,352 = 534,352 : x
  2. Step 2: Convert to fraction form
    221,640/534,352 = 534,352/x
  3. Step 3: Cross multiply
    221,640x = 534,352 × 534,352
  4. Step 4: Simplify right side
    221,640x = 285,532,059,904
  5. Step 5: Solve for x
    x = 285,532,059,904/221,640
  6. Step 6: Final answer
    x = 1,288,269.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.