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Finding the Third Proportional to 12,455.65 and 20,759.41

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Solution

The third proportional to 12,455.65 and 20,759.41 is: 34,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.65 : 20,759.41 = 20,759.41 : x
  2. Step 2: Convert to fraction form
    12,455.65/20,759.41 = 20,759.41/x
  3. Step 3: Cross multiply
    12,455.65x = 20,759.41 × 20,759.41
  4. Step 4: Simplify right side
    12,455.65x = 430,953,272.22
  5. Step 5: Solve for x
    x = 430,953,272.22/12,455.65
  6. Step 6: Final answer
    x = 34,599.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.