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Finding the Third Proportional to 221,292 and 335,282

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Solution

The third proportional to 221,292 and 335,282 is: 507,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,292 : 335,282 = 335,282 : x
  2. Step 2: Convert to fraction form
    221,292/335,282 = 335,282/x
  3. Step 3: Cross multiply
    221,292x = 335,282 × 335,282
  4. Step 4: Simplify right side
    221,292x = 112,414,019,524
  5. Step 5: Solve for x
    x = 112,414,019,524/221,292
  6. Step 6: Final answer
    x = 507,989.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.