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Finding the Third Proportional to 566.53 and 906.56

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Solution

The third proportional to 566.53 and 906.56 is: 1,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 906.56 = 906.56 : x
  2. Step 2: Convert to fraction form
    566.53/906.56 = 906.56/x
  3. Step 3: Cross multiply
    566.53x = 906.56 × 906.56
  4. Step 4: Simplify right side
    566.53x = 821,855.57
  5. Step 5: Solve for x
    x = 821,855.57/566.53
  6. Step 6: Final answer
    x = 1,450.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.