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Finding the Third Proportional to 277.25 and 606.25

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Solution

The third proportional to 277.25 and 606.25 is: 1,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 606.25 = 606.25 : x
  2. Step 2: Convert to fraction form
    277.25/606.25 = 606.25/x
  3. Step 3: Cross multiply
    277.25x = 606.25 × 606.25
  4. Step 4: Simplify right side
    277.25x = 367,539.06
  5. Step 5: Solve for x
    x = 367,539.06/277.25
  6. Step 6: Final answer
    x = 1,325.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.