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Finding the Third Proportional to 15,405.19 and 24,679.69

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Solution

The third proportional to 15,405.19 and 24,679.69 is: 39,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.19 : 24,679.69 = 24,679.69 : x
  2. Step 2: Convert to fraction form
    15,405.19/24,679.69 = 24,679.69/x
  3. Step 3: Cross multiply
    15,405.19x = 24,679.69 × 24,679.69
  4. Step 4: Simplify right side
    15,405.19x = 609,086,975.10
  5. Step 5: Solve for x
    x = 609,086,975.10/15,405.19
  6. Step 6: Final answer
    x = 39,537.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.