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Finding the Third Proportional to 200,295 and 311,931

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Solution

The third proportional to 200,295 and 311,931 is: 485,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,295 : 311,931 = 311,931 : x
  2. Step 2: Convert to fraction form
    200,295/311,931 = 311,931/x
  3. Step 3: Cross multiply
    200,295x = 311,931 × 311,931
  4. Step 4: Simplify right side
    200,295x = 97,300,948,761
  5. Step 5: Solve for x
    x = 97,300,948,761/200,295
  6. Step 6: Final answer
    x = 485,788.21

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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.