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Finding the Third Proportional to 86,642 and 189,828

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Solution

The third proportional to 86,642 and 189,828 is: 415,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642 : 189,828 = 189,828 : x
  2. Step 2: Convert to fraction form
    86,642/189,828 = 189,828/x
  3. Step 3: Cross multiply
    86,642x = 189,828 × 189,828
  4. Step 4: Simplify right side
    86,642x = 36,034,669,584
  5. Step 5: Solve for x
    x = 36,034,669,584/86,642
  6. Step 6: Final answer
    x = 415,903.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.