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Finding the Third Proportional to 6,455 and 7,127

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Solution

The third proportional to 6,455 and 7,127 is: 7,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455 : 7,127 = 7,127 : x
  2. Step 2: Convert to fraction form
    6,455/7,127 = 7,127/x
  3. Step 3: Cross multiply
    6,455x = 7,127 × 7,127
  4. Step 4: Simplify right side
    6,455x = 50,794,129
  5. Step 5: Solve for x
    x = 50,794,129/6,455
  6. Step 6: Final answer
    x = 7,868.96

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.