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Finding the Third Proportional to 131,314 and 203,721

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Solution

The third proportional to 131,314 and 203,721 is: 316,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,314 : 203,721 = 203,721 : x
  2. Step 2: Convert to fraction form
    131,314/203,721 = 203,721/x
  3. Step 3: Cross multiply
    131,314x = 203,721 × 203,721
  4. Step 4: Simplify right side
    131,314x = 41,502,245,841
  5. Step 5: Solve for x
    x = 41,502,245,841/131,314
  6. Step 6: Final answer
    x = 316,053.47

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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.