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Finding the Third Proportional to 10,795.78 and 23,350.78

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Solution

The third proportional to 10,795.78 and 23,350.78 is: 50,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.78 : 23,350.78 = 23,350.78 : x
  2. Step 2: Convert to fraction form
    10,795.78/23,350.78 = 23,350.78/x
  3. Step 3: Cross multiply
    10,795.78x = 23,350.78 × 23,350.78
  4. Step 4: Simplify right side
    10,795.78x = 545,258,984.99
  5. Step 5: Solve for x
    x = 545,258,984.99/10,795.78
  6. Step 6: Final answer
    x = 50,506.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.