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Finding the Third Proportional to 5,090.34 and 10,795.78

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Solution

The third proportional to 5,090.34 and 10,795.78 is: 22,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.34 : 10,795.78 = 10,795.78 : x
  2. Step 2: Convert to fraction form
    5,090.34/10,795.78 = 10,795.78/x
  3. Step 3: Cross multiply
    5,090.34x = 10,795.78 × 10,795.78
  4. Step 4: Simplify right side
    5,090.34x = 116,548,892.80
  5. Step 5: Solve for x
    x = 116,548,892.80/5,090.34
  6. Step 6: Final answer
    x = 22,896.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.