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Finding the Third Proportional to 5,222.98 and 11,432.84

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Solution

The third proportional to 5,222.98 and 11,432.84 is: 25,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.98 : 11,432.84 = 11,432.84 : x
  2. Step 2: Convert to fraction form
    5,222.98/11,432.84 = 11,432.84/x
  3. Step 3: Cross multiply
    5,222.98x = 11,432.84 × 11,432.84
  4. Step 4: Simplify right side
    5,222.98x = 130,709,916.21
  5. Step 5: Solve for x
    x = 130,709,916.21/5,222.98
  6. Step 6: Final answer
    x = 25,025.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.