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Finding the Third Proportional to 307.75 and 661.25

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Solution

The third proportional to 307.75 and 661.25 is: 1,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 661.25 = 661.25 : x
  2. Step 2: Convert to fraction form
    307.75/661.25 = 661.25/x
  3. Step 3: Cross multiply
    307.75x = 661.25 × 661.25
  4. Step 4: Simplify right side
    307.75x = 437,251.56
  5. Step 5: Solve for x
    x = 437,251.56/307.75
  6. Step 6: Final answer
    x = 1,420.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.