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Finding the Third Proportional to 7,769.25 and 12,497.63

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Solution

The third proportional to 7,769.25 and 12,497.63 is: 20,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.25 : 12,497.63 = 12,497.63 : x
  2. Step 2: Convert to fraction form
    7,769.25/12,497.63 = 12,497.63/x
  3. Step 3: Cross multiply
    7,769.25x = 12,497.63 × 12,497.63
  4. Step 4: Simplify right side
    7,769.25x = 156,190,630.64
  5. Step 5: Solve for x
    x = 156,190,630.64/7,769.25
  6. Step 6: Final answer
    x = 20,103.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.