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Finding the Third Proportional to 85,640 and 189,637

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Solution

The third proportional to 85,640 and 189,637 is: 419,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,640 : 189,637 = 189,637 : x
  2. Step 2: Convert to fraction form
    85,640/189,637 = 189,637/x
  3. Step 3: Cross multiply
    85,640x = 189,637 × 189,637
  4. Step 4: Simplify right side
    85,640x = 35,962,191,769
  5. Step 5: Solve for x
    x = 35,962,191,769/85,640
  6. Step 6: Final answer
    x = 419,922.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.