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Finding the Third Proportional to 200,290.50 and 311,924.25

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Solution

The third proportional to 200,290.50 and 311,924.25 is: 485,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290.50 : 311,924.25 = 311,924.25 : x
  2. Step 2: Convert to fraction form
    200,290.50/311,924.25 = 311,924.25/x
  3. Step 3: Cross multiply
    200,290.50x = 311,924.25 × 311,924.25
  4. Step 4: Simplify right side
    200,290.50x = 97,296,737,738.06
  5. Step 5: Solve for x
    x = 97,296,737,738.06/200,290.50
  6. Step 6: Final answer
    x = 485,778.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.