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Finding the Third Proportional to 85,109 and 134,704

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Solution

The third proportional to 85,109 and 134,704 is: 213,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,109 : 134,704 = 134,704 : x
  2. Step 2: Convert to fraction form
    85,109/134,704 = 134,704/x
  3. Step 3: Cross multiply
    85,109x = 134,704 × 134,704
  4. Step 4: Simplify right side
    85,109x = 18,145,167,616
  5. Step 5: Solve for x
    x = 18,145,167,616/85,109
  6. Step 6: Final answer
    x = 213,199.16

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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.