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Finding the Third Proportional to 85,603 and 133,068

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Solution

The third proportional to 85,603 and 133,068 is: 206,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,603 : 133,068 = 133,068 : x
  2. Step 2: Convert to fraction form
    85,603/133,068 = 133,068/x
  3. Step 3: Cross multiply
    85,603x = 133,068 × 133,068
  4. Step 4: Simplify right side
    85,603x = 17,707,092,624
  5. Step 5: Solve for x
    x = 17,707,092,624/85,603
  6. Step 6: Final answer
    x = 206,851.31

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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.