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Finding the Third Proportional to 129,313 and 200,693

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Solution

The third proportional to 129,313 and 200,693 is: 311,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,313 : 200,693 = 200,693 : x
  2. Step 2: Convert to fraction form
    129,313/200,693 = 200,693/x
  3. Step 3: Cross multiply
    129,313x = 200,693 × 200,693
  4. Step 4: Simplify right side
    129,313x = 40,277,680,249
  5. Step 5: Solve for x
    x = 40,277,680,249/129,313
  6. Step 6: Final answer
    x = 311,474.33

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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.