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Finding the Third Proportional to 129,464 and 200,916

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Solution

The third proportional to 129,464 and 200,916 is: 311,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,464 : 200,916 = 200,916 : x
  2. Step 2: Convert to fraction form
    129,464/200,916 = 200,916/x
  3. Step 3: Cross multiply
    129,464x = 200,916 × 200,916
  4. Step 4: Simplify right side
    129,464x = 40,367,239,056
  5. Step 5: Solve for x
    x = 40,367,239,056/129,464
  6. Step 6: Final answer
    x = 311,802.81

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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.