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Finding the Third Proportional to 566.75 and 1,201.56

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Solution

The third proportional to 566.75 and 1,201.56 is: 2,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 1,201.56 = 1,201.56 : x
  2. Step 2: Convert to fraction form
    566.75/1,201.56 = 1,201.56/x
  3. Step 3: Cross multiply
    566.75x = 1,201.56 × 1,201.56
  4. Step 4: Simplify right side
    566.75x = 1,443,752.44
  5. Step 5: Solve for x
    x = 1,443,752.44/566.75
  6. Step 6: Final answer
    x = 2,547.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.