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Finding the Third Proportional to 213,521.25 and 313,855.88

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Solution

The third proportional to 213,521.25 and 313,855.88 is: 461,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,521.25 : 313,855.88 = 313,855.88 : x
  2. Step 2: Convert to fraction form
    213,521.25/313,855.88 = 313,855.88/x
  3. Step 3: Cross multiply
    213,521.25x = 313,855.88 × 313,855.88
  4. Step 4: Simplify right side
    213,521.25x = 98,505,510,272.02
  5. Step 5: Solve for x
    x = 98,505,510,272.02/213,521.25
  6. Step 6: Final answer
    x = 461,338.21

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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.