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Finding the Third Proportional to 9,259.73 and 20,521.41

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Solution

The third proportional to 9,259.73 and 20,521.41 is: 45,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.73 : 20,521.41 = 20,521.41 : x
  2. Step 2: Convert to fraction form
    9,259.73/20,521.41 = 20,521.41/x
  3. Step 3: Cross multiply
    9,259.73x = 20,521.41 × 20,521.41
  4. Step 4: Simplify right side
    9,259.73x = 421,128,114.48
  5. Step 5: Solve for x
    x = 421,128,114.48/9,259.73
  6. Step 6: Final answer
    x = 45,479.50

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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.