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Finding the Third Proportional to 277.07 and 585.88

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Solution

The third proportional to 277.07 and 585.88 is: 1,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.07 : 585.88 = 585.88 : x
  2. Step 2: Convert to fraction form
    277.07/585.88 = 585.88/x
  3. Step 3: Cross multiply
    277.07x = 585.88 × 585.88
  4. Step 4: Simplify right side
    277.07x = 343,254.09
  5. Step 5: Solve for x
    x = 343,254.09/277.07
  6. Step 6: Final answer
    x = 1,238.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.