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Finding the Third Proportional to 23,107.78 and 30,390.19

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Solution

The third proportional to 23,107.78 and 30,390.19 is: 39,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.78 : 30,390.19 = 30,390.19 : x
  2. Step 2: Convert to fraction form
    23,107.78/30,390.19 = 30,390.19/x
  3. Step 3: Cross multiply
    23,107.78x = 30,390.19 × 30,390.19
  4. Step 4: Simplify right side
    23,107.78x = 923,563,496.29
  5. Step 5: Solve for x
    x = 923,563,496.29/23,107.78
  6. Step 6: Final answer
    x = 39,967.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.