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Finding the Third Proportional to 221,441 and 324,780

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Solution

The third proportional to 221,441 and 324,780 is: 476,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,441 : 324,780 = 324,780 : x
  2. Step 2: Convert to fraction form
    221,441/324,780 = 324,780/x
  3. Step 3: Cross multiply
    221,441x = 324,780 × 324,780
  4. Step 4: Simplify right side
    221,441x = 105,482,048,400
  5. Step 5: Solve for x
    x = 105,482,048,400/221,441
  6. Step 6: Final answer
    x = 476,343.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.