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Finding the Third Proportional to 213,624 and 321,805.13

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Solution

The third proportional to 213,624 and 321,805.13 is: 484,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624 : 321,805.13 = 321,805.13 : x
  2. Step 2: Convert to fraction form
    213,624/321,805.13 = 321,805.13/x
  3. Step 3: Cross multiply
    213,624x = 321,805.13 × 321,805.13
  4. Step 4: Simplify right side
    213,624x = 103,558,538,476.27
  5. Step 5: Solve for x
    x = 103,558,538,476.27/213,624
  6. Step 6: Final answer
    x = 484,770.15

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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.