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Finding the Third Proportional to 277.57 and 597.85

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Solution

The third proportional to 277.57 and 597.85 is: 1,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.57 : 597.85 = 597.85 : x
  2. Step 2: Convert to fraction form
    277.57/597.85 = 597.85/x
  3. Step 3: Cross multiply
    277.57x = 597.85 × 597.85
  4. Step 4: Simplify right side
    277.57x = 357,424.16
  5. Step 5: Solve for x
    x = 357,424.16/277.57
  6. Step 6: Final answer
    x = 1,287.70

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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.