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Finding the Third Proportional to 115,828.89 and 212,436.11

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Solution

The third proportional to 115,828.89 and 212,436.11 is: 389,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,828.89 : 212,436.11 = 212,436.11 : x
  2. Step 2: Convert to fraction form
    115,828.89/212,436.11 = 212,436.11/x
  3. Step 3: Cross multiply
    115,828.89x = 212,436.11 × 212,436.11
  4. Step 4: Simplify right side
    115,828.89x = 45,129,098,906.73
  5. Step 5: Solve for x
    x = 45,129,098,906.73/115,828.89
  6. Step 6: Final answer
    x = 389,618.67

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.