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Finding the Third Proportional to 9,090.75 and 13,900.13

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Solution

The third proportional to 9,090.75 and 13,900.13 is: 21,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.75 : 13,900.13 = 13,900.13 : x
  2. Step 2: Convert to fraction form
    9,090.75/13,900.13 = 13,900.13/x
  3. Step 3: Cross multiply
    9,090.75x = 13,900.13 × 13,900.13
  4. Step 4: Simplify right side
    9,090.75x = 193,213,475.02
  5. Step 5: Solve for x
    x = 193,213,475.02/9,090.75
  6. Step 6: Final answer
    x = 21,253.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.