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Finding the Third Proportional to 10,295.50 and 20,955.25

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Solution

The third proportional to 10,295.50 and 20,955.25 is: 42,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.50 : 20,955.25 = 20,955.25 : x
  2. Step 2: Convert to fraction form
    10,295.50/20,955.25 = 20,955.25/x
  3. Step 3: Cross multiply
    10,295.50x = 20,955.25 × 20,955.25
  4. Step 4: Simplify right side
    10,295.50x = 439,122,502.56
  5. Step 5: Solve for x
    x = 439,122,502.56/10,295.50
  6. Step 6: Final answer
    x = 42,651.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.