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Finding the Third Proportional to 221,818 and 310,439

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Solution

The third proportional to 221,818 and 310,439 is: 434,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,818 : 310,439 = 310,439 : x
  2. Step 2: Convert to fraction form
    221,818/310,439 = 310,439/x
  3. Step 3: Cross multiply
    221,818x = 310,439 × 310,439
  4. Step 4: Simplify right side
    221,818x = 96,372,372,721
  5. Step 5: Solve for x
    x = 96,372,372,721/221,818
  6. Step 6: Final answer
    x = 434,465.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.