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Finding the Third Proportional to 289.55 and 566.09

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Solution

The third proportional to 289.55 and 566.09 is: 1,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.55 : 566.09 = 566.09 : x
  2. Step 2: Convert to fraction form
    289.55/566.09 = 566.09/x
  3. Step 3: Cross multiply
    289.55x = 566.09 × 566.09
  4. Step 4: Simplify right side
    289.55x = 320,453.29
  5. Step 5: Solve for x
    x = 320,453.29/289.55
  6. Step 6: Final answer
    x = 1,106.74

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.