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Finding the Third Proportional to 9,259.31 and 20,520.21

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Solution

The third proportional to 9,259.31 and 20,520.21 is: 45,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.31 : 20,520.21 = 20,520.21 : x
  2. Step 2: Convert to fraction form
    9,259.31/20,520.21 = 20,520.21/x
  3. Step 3: Cross multiply
    9,259.31x = 20,520.21 × 20,520.21
  4. Step 4: Simplify right side
    9,259.31x = 421,079,056.92
  5. Step 5: Solve for x
    x = 421,079,056.92/9,259.31
  6. Step 6: Final answer
    x = 45,476.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.