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Finding the Third Proportional to 200,841.75 and 311,181.75

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Solution

The third proportional to 200,841.75 and 311,181.75 is: 482,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841.75 : 311,181.75 = 311,181.75 : x
  2. Step 2: Convert to fraction form
    200,841.75/311,181.75 = 311,181.75/x
  3. Step 3: Cross multiply
    200,841.75x = 311,181.75 × 311,181.75
  4. Step 4: Simplify right side
    200,841.75x = 96,834,081,533.06
  5. Step 5: Solve for x
    x = 96,834,081,533.06/200,841.75
  6. Step 6: Final answer
    x = 482,141.20

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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.