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Finding the Third Proportional to 9,506.25 and 12,615.75

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Solution

The third proportional to 9,506.25 and 12,615.75 is: 16,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.25 : 12,615.75 = 12,615.75 : x
  2. Step 2: Convert to fraction form
    9,506.25/12,615.75 = 12,615.75/x
  3. Step 3: Cross multiply
    9,506.25x = 12,615.75 × 12,615.75
  4. Step 4: Simplify right side
    9,506.25x = 159,157,148.06
  5. Step 5: Solve for x
    x = 159,157,148.06/9,506.25
  6. Step 6: Final answer
    x = 16,742.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.