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Finding the Third Proportional to 200,900.25 and 311,272.88

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Solution

The third proportional to 200,900.25 and 311,272.88 is: 482,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,900.25 : 311,272.88 = 311,272.88 : x
  2. Step 2: Convert to fraction form
    200,900.25/311,272.88 = 311,272.88/x
  3. Step 3: Cross multiply
    200,900.25x = 311,272.88 × 311,272.88
  4. Step 4: Simplify right side
    200,900.25x = 96,890,802,710.77
  5. Step 5: Solve for x
    x = 96,890,802,710.77/200,900.25
  6. Step 6: Final answer
    x = 482,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.