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Finding the Third Proportional to 91,127 and 198,610

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Solution

The third proportional to 91,127 and 198,610 is: 432,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,127 : 198,610 = 198,610 : x
  2. Step 2: Convert to fraction form
    91,127/198,610 = 198,610/x
  3. Step 3: Cross multiply
    91,127x = 198,610 × 198,610
  4. Step 4: Simplify right side
    91,127x = 39,445,932,100
  5. Step 5: Solve for x
    x = 39,445,932,100/91,127
  6. Step 6: Final answer
    x = 432,867.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.