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Finding the Third Proportional to 129,894 and 200,313

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Solution

The third proportional to 129,894 and 200,313 is: 308,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,894 : 200,313 = 200,313 : x
  2. Step 2: Convert to fraction form
    129,894/200,313 = 200,313/x
  3. Step 3: Cross multiply
    129,894x = 200,313 × 200,313
  4. Step 4: Simplify right side
    129,894x = 40,125,297,969
  5. Step 5: Solve for x
    x = 40,125,297,969/129,894
  6. Step 6: Final answer
    x = 308,908.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.