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Finding the Third Proportional to 86,874 and 189,292

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Solution

The third proportional to 86,874 and 189,292 is: 412,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,874 : 189,292 = 189,292 : x
  2. Step 2: Convert to fraction form
    86,874/189,292 = 189,292/x
  3. Step 3: Cross multiply
    86,874x = 189,292 × 189,292
  4. Step 4: Simplify right side
    86,874x = 35,831,461,264
  5. Step 5: Solve for x
    x = 35,831,461,264/86,874
  6. Step 6: Final answer
    x = 412,453.22

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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.