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Finding the Third Proportional to 12,563.86 and 19,489.36

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Solution

The third proportional to 12,563.86 and 19,489.36 is: 30,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.86 : 19,489.36 = 19,489.36 : x
  2. Step 2: Convert to fraction form
    12,563.86/19,489.36 = 19,489.36/x
  3. Step 3: Cross multiply
    12,563.86x = 19,489.36 × 19,489.36
  4. Step 4: Simplify right side
    12,563.86x = 379,835,128.85
  5. Step 5: Solve for x
    x = 379,835,128.85/12,563.86
  6. Step 6: Final answer
    x = 30,232.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.