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Finding the Third Proportional to 213,531.19 and 321,694.03

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Solution

The third proportional to 213,531.19 and 321,694.03 is: 484,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,531.19 : 321,694.03 = 321,694.03 : x
  2. Step 2: Convert to fraction form
    213,531.19/321,694.03 = 321,694.03/x
  3. Step 3: Cross multiply
    213,531.19x = 321,694.03 × 321,694.03
  4. Step 4: Simplify right side
    213,531.19x = 103,487,049,741.88
  5. Step 5: Solve for x
    x = 103,487,049,741.88/213,531.19
  6. Step 6: Final answer
    x = 484,646.06

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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.