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Finding the Third Proportional to 9,750.50 and 23,009.38

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Solution

The third proportional to 9,750.50 and 23,009.38 is: 54,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.50 : 23,009.38 = 23,009.38 : x
  2. Step 2: Convert to fraction form
    9,750.50/23,009.38 = 23,009.38/x
  3. Step 3: Cross multiply
    9,750.50x = 23,009.38 × 23,009.38
  4. Step 4: Simplify right side
    9,750.50x = 529,431,337.89
  5. Step 5: Solve for x
    x = 529,431,337.89/9,750.50
  6. Step 6: Final answer
    x = 54,297.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.