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Finding the Third Proportional to 85,680 and 189,712

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Solution

The third proportional to 85,680 and 189,712 is: 420,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680 : 189,712 = 189,712 : x
  2. Step 2: Convert to fraction form
    85,680/189,712 = 189,712/x
  3. Step 3: Cross multiply
    85,680x = 189,712 × 189,712
  4. Step 4: Simplify right side
    85,680x = 35,990,642,944
  5. Step 5: Solve for x
    x = 35,990,642,944/85,680
  6. Step 6: Final answer
    x = 420,058.86

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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.