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Finding the Third Proportional to 86,083 and 187,412

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Solution

The third proportional to 86,083 and 187,412 is: 408,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,083 : 187,412 = 187,412 : x
  2. Step 2: Convert to fraction form
    86,083/187,412 = 187,412/x
  3. Step 3: Cross multiply
    86,083x = 187,412 × 187,412
  4. Step 4: Simplify right side
    86,083x = 35,123,257,744
  5. Step 5: Solve for x
    x = 35,123,257,744/86,083
  6. Step 6: Final answer
    x = 408,016.19

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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.