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Finding the Third Proportional to 13,455 and 20,470.50

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Solution

The third proportional to 13,455 and 20,470.50 is: 31,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455 : 20,470.50 = 20,470.50 : x
  2. Step 2: Convert to fraction form
    13,455/20,470.50 = 20,470.50/x
  3. Step 3: Cross multiply
    13,455x = 20,470.50 × 20,470.50
  4. Step 4: Simplify right side
    13,455x = 419,041,370.25
  5. Step 5: Solve for x
    x = 419,041,370.25/13,455
  6. Step 6: Final answer
    x = 31,143.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.