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Finding the Third Proportional to 7,755 and 12,485

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Solution

The third proportional to 7,755 and 12,485 is: 20,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755 : 12,485 = 12,485 : x
  2. Step 2: Convert to fraction form
    7,755/12,485 = 12,485/x
  3. Step 3: Cross multiply
    7,755x = 12,485 × 12,485
  4. Step 4: Simplify right side
    7,755x = 155,875,225
  5. Step 5: Solve for x
    x = 155,875,225/7,755
  6. Step 6: Final answer
    x = 20,099.96

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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.