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Finding the Third Proportional to 131,299 and 203,693

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Solution

The third proportional to 131,299 and 203,693 is: 316,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,299 : 203,693 = 203,693 : x
  2. Step 2: Convert to fraction form
    131,299/203,693 = 203,693/x
  3. Step 3: Cross multiply
    131,299x = 203,693 × 203,693
  4. Step 4: Simplify right side
    131,299x = 41,490,838,249
  5. Step 5: Solve for x
    x = 41,490,838,249/131,299
  6. Step 6: Final answer
    x = 316,002.70

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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.