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Finding the Third Proportional to 221,484 and 334,530

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Solution

The third proportional to 221,484 and 334,530 is: 505,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,484 : 334,530 = 334,530 : x
  2. Step 2: Convert to fraction form
    221,484/334,530 = 334,530/x
  3. Step 3: Cross multiply
    221,484x = 334,530 × 334,530
  4. Step 4: Simplify right side
    221,484x = 111,910,320,900
  5. Step 5: Solve for x
    x = 111,910,320,900/221,484
  6. Step 6: Final answer
    x = 505,274.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.