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Finding the Third Proportional to 5,126 and 7,255

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Solution

The third proportional to 5,126 and 7,255 is: 10,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126 : 7,255 = 7,255 : x
  2. Step 2: Convert to fraction form
    5,126/7,255 = 7,255/x
  3. Step 3: Cross multiply
    5,126x = 7,255 × 7,255
  4. Step 4: Simplify right side
    5,126x = 52,635,025
  5. Step 5: Solve for x
    x = 52,635,025/5,126
  6. Step 6: Final answer
    x = 10,268.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.