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Finding the Third Proportional to 158,760 and 217,692

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Solution

The third proportional to 158,760 and 217,692 is: 298,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,760 : 217,692 = 217,692 : x
  2. Step 2: Convert to fraction form
    158,760/217,692 = 217,692/x
  3. Step 3: Cross multiply
    158,760x = 217,692 × 217,692
  4. Step 4: Simplify right side
    158,760x = 47,389,806,864
  5. Step 5: Solve for x
    x = 47,389,806,864/158,760
  6. Step 6: Final answer
    x = 298,499.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.