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Finding the Third Proportional to 10,783.13 and 25,955.44

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Solution

The third proportional to 10,783.13 and 25,955.44 is: 62,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 25,955.44 = 25,955.44 : x
  2. Step 2: Convert to fraction form
    10,783.13/25,955.44 = 25,955.44/x
  3. Step 3: Cross multiply
    10,783.13x = 25,955.44 × 25,955.44
  4. Step 4: Simplify right side
    10,783.13x = 673,684,735.82
  5. Step 5: Solve for x
    x = 673,684,735.82/10,783.13
  6. Step 6: Final answer
    x = 62,475.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.