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Finding the Third Proportional to 4,088 and 5,120

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Solution

The third proportional to 4,088 and 5,120 is: 6,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088 : 5,120 = 5,120 : x
  2. Step 2: Convert to fraction form
    4,088/5,120 = 5,120/x
  3. Step 3: Cross multiply
    4,088x = 5,120 × 5,120
  4. Step 4: Simplify right side
    4,088x = 26,214,400
  5. Step 5: Solve for x
    x = 26,214,400/4,088
  6. Step 6: Final answer
    x = 6,412.52

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.