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Finding the Third Proportional to 12,905.25 and 19,842.75

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Solution

The third proportional to 12,905.25 and 19,842.75 is: 30,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.25 : 19,842.75 = 19,842.75 : x
  2. Step 2: Convert to fraction form
    12,905.25/19,842.75 = 19,842.75/x
  3. Step 3: Cross multiply
    12,905.25x = 19,842.75 × 19,842.75
  4. Step 4: Simplify right side
    12,905.25x = 393,734,727.56
  5. Step 5: Solve for x
    x = 393,734,727.56/12,905.25
  6. Step 6: Final answer
    x = 30,509.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.