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Finding the Third Proportional to 221,836 and 332,646

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Solution

The third proportional to 221,836 and 332,646 is: 498,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,836 : 332,646 = 332,646 : x
  2. Step 2: Convert to fraction form
    221,836/332,646 = 332,646/x
  3. Step 3: Cross multiply
    221,836x = 332,646 × 332,646
  4. Step 4: Simplify right side
    221,836x = 110,653,361,316
  5. Step 5: Solve for x
    x = 110,653,361,316/221,836
  6. Step 6: Final answer
    x = 498,807.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.