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Finding the Third Proportional to 7,995 and 10,102.50

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Solution

The third proportional to 7,995 and 10,102.50 is: 12,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995 : 10,102.50 = 10,102.50 : x
  2. Step 2: Convert to fraction form
    7,995/10,102.50 = 10,102.50/x
  3. Step 3: Cross multiply
    7,995x = 10,102.50 × 10,102.50
  4. Step 4: Simplify right side
    7,995x = 102,060,506.25
  5. Step 5: Solve for x
    x = 102,060,506.25/7,995
  6. Step 6: Final answer
    x = 12,765.54

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.