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Finding the Third Proportional to 751.75 and 807.25

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Solution

The third proportional to 751.75 and 807.25 is: 866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.75 : 807.25 = 807.25 : x
  2. Step 2: Convert to fraction form
    751.75/807.25 = 807.25/x
  3. Step 3: Cross multiply
    751.75x = 807.25 × 807.25
  4. Step 4: Simplify right side
    751.75x = 651,652.56
  5. Step 5: Solve for x
    x = 651,652.56/751.75
  6. Step 6: Final answer
    x = 866.85

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.