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Finding the Third Proportional to 10,783.13 and 22,857.19

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Solution

The third proportional to 10,783.13 and 22,857.19 is: 48,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 22,857.19 = 22,857.19 : x
  2. Step 2: Convert to fraction form
    10,783.13/22,857.19 = 22,857.19/x
  3. Step 3: Cross multiply
    10,783.13x = 22,857.19 × 22,857.19
  4. Step 4: Simplify right side
    10,783.13x = 522,451,020.41
  5. Step 5: Solve for x
    x = 522,451,020.41/10,783.13
  6. Step 6: Final answer
    x = 48,450.80

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Why These Related Problems?

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