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Finding the Third Proportional to 200,410 and 311,698

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Solution

The third proportional to 200,410 and 311,698 is: 484,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,410 : 311,698 = 311,698 : x
  2. Step 2: Convert to fraction form
    200,410/311,698 = 311,698/x
  3. Step 3: Cross multiply
    200,410x = 311,698 × 311,698
  4. Step 4: Simplify right side
    200,410x = 97,155,643,204
  5. Step 5: Solve for x
    x = 97,155,643,204/200,410
  6. Step 6: Final answer
    x = 484,784.41

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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.