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Finding the Third Proportional to 281.30 and 585.14

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Solution

The third proportional to 281.30 and 585.14 is: 1,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.30 : 585.14 = 585.14 : x
  2. Step 2: Convert to fraction form
    281.30/585.14 = 585.14/x
  3. Step 3: Cross multiply
    281.30x = 585.14 × 585.14
  4. Step 4: Simplify right side
    281.30x = 342,389.55
  5. Step 5: Solve for x
    x = 342,389.55/281.30
  6. Step 6: Final answer
    x = 1,217.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.