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Finding the Third Proportional to 23,199.75 and 33,193.13

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Solution

The third proportional to 23,199.75 and 33,193.13 is: 47,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.75 : 33,193.13 = 33,193.13 : x
  2. Step 2: Convert to fraction form
    23,199.75/33,193.13 = 33,193.13/x
  3. Step 3: Cross multiply
    23,199.75x = 33,193.13 × 33,193.13
  4. Step 4: Simplify right side
    23,199.75x = 1,101,783,547.27
  5. Step 5: Solve for x
    x = 1,101,783,547.27/23,199.75
  6. Step 6: Final answer
    x = 47,491.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.