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Finding the Third Proportional to 86,638 and 189,820

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Solution

The third proportional to 86,638 and 189,820 is: 415,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,638 : 189,820 = 189,820 : x
  2. Step 2: Convert to fraction form
    86,638/189,820 = 189,820/x
  3. Step 3: Cross multiply
    86,638x = 189,820 × 189,820
  4. Step 4: Simplify right side
    86,638x = 36,031,632,400
  5. Step 5: Solve for x
    x = 36,031,632,400/86,638
  6. Step 6: Final answer
    x = 415,887.17

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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.