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Finding the Third Proportional to 85,270 and 133,763

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Solution

The third proportional to 85,270 and 133,763 is: 209,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270 : 133,763 = 133,763 : x
  2. Step 2: Convert to fraction form
    85,270/133,763 = 133,763/x
  3. Step 3: Cross multiply
    85,270x = 133,763 × 133,763
  4. Step 4: Simplify right side
    85,270x = 17,892,540,169
  5. Step 5: Solve for x
    x = 17,892,540,169/85,270
  6. Step 6: Final answer
    x = 209,833.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.