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Finding the Third Proportional to 278.75 and 606.25

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Solution

The third proportional to 278.75 and 606.25 is: 1,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 606.25 = 606.25 : x
  2. Step 2: Convert to fraction form
    278.75/606.25 = 606.25/x
  3. Step 3: Cross multiply
    278.75x = 606.25 × 606.25
  4. Step 4: Simplify right side
    278.75x = 367,539.06
  5. Step 5: Solve for x
    x = 367,539.06/278.75
  6. Step 6: Final answer
    x = 1,318.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.