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Finding the Third Proportional to 12,121.52 and 17,720.96

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Solution

The third proportional to 12,121.52 and 17,720.96 is: 25,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.52 : 17,720.96 = 17,720.96 : x
  2. Step 2: Convert to fraction form
    12,121.52/17,720.96 = 17,720.96/x
  3. Step 3: Cross multiply
    12,121.52x = 17,720.96 × 17,720.96
  4. Step 4: Simplify right side
    12,121.52x = 314,032,594.99
  5. Step 5: Solve for x
    x = 314,032,594.99/12,121.52
  6. Step 6: Final answer
    x = 25,907.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.