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Finding the Third Proportional to 85,879 and 187,013

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Solution

The third proportional to 85,879 and 187,013 is: 407,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,879 : 187,013 = 187,013 : x
  2. Step 2: Convert to fraction form
    85,879/187,013 = 187,013/x
  3. Step 3: Cross multiply
    85,879x = 187,013 × 187,013
  4. Step 4: Simplify right side
    85,879x = 34,973,862,169
  5. Step 5: Solve for x
    x = 34,973,862,169/85,879
  6. Step 6: Final answer
    x = 407,245.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.