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Finding the Third Proportional to 85,115 and 134,713

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Solution

The third proportional to 85,115 and 134,713 is: 213,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,115 : 134,713 = 134,713 : x
  2. Step 2: Convert to fraction form
    85,115/134,713 = 134,713/x
  3. Step 3: Cross multiply
    85,115x = 134,713 × 134,713
  4. Step 4: Simplify right side
    85,115x = 18,147,592,369
  5. Step 5: Solve for x
    x = 18,147,592,369/85,115
  6. Step 6: Final answer
    x = 213,212.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.