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Finding the Third Proportional to 131,377 and 203,813

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Solution

The third proportional to 131,377 and 203,813 is: 316,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,377 : 203,813 = 203,813 : x
  2. Step 2: Convert to fraction form
    131,377/203,813 = 203,813/x
  3. Step 3: Cross multiply
    131,377x = 203,813 × 203,813
  4. Step 4: Simplify right side
    131,377x = 41,539,738,969
  5. Step 5: Solve for x
    x = 41,539,738,969/131,377
  6. Step 6: Final answer
    x = 316,187.30

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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.