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Finding the Third Proportional to 221,311 and 335,306

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Solution

The third proportional to 221,311 and 335,306 is: 508,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,311 : 335,306 = 335,306 : x
  2. Step 2: Convert to fraction form
    221,311/335,306 = 335,306/x
  3. Step 3: Cross multiply
    221,311x = 335,306 × 335,306
  4. Step 4: Simplify right side
    221,311x = 112,430,113,636
  5. Step 5: Solve for x
    x = 112,430,113,636/221,311
  6. Step 6: Final answer
    x = 508,018.64

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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.