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Finding the Third Proportional to 88,866 and 189,972

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Solution

The third proportional to 88,866 and 189,972 is: 406,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,866 : 189,972 = 189,972 : x
  2. Step 2: Convert to fraction form
    88,866/189,972 = 189,972/x
  3. Step 3: Cross multiply
    88,866x = 189,972 × 189,972
  4. Step 4: Simplify right side
    88,866x = 36,089,360,784
  5. Step 5: Solve for x
    x = 36,089,360,784/88,866
  6. Step 6: Final answer
    x = 406,109.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.