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Finding the Third Proportional to 265.75 and 585.63

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Solution

The third proportional to 265.75 and 585.63 is: 1,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.75 : 585.63 = 585.63 : x
  2. Step 2: Convert to fraction form
    265.75/585.63 = 585.63/x
  3. Step 3: Cross multiply
    265.75x = 585.63 × 585.63
  4. Step 4: Simplify right side
    265.75x = 342,956.64
  5. Step 5: Solve for x
    x = 342,956.64/265.75
  6. Step 6: Final answer
    x = 1,290.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.