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Finding the Third Proportional to 648.42 and 1,566.63

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Solution

The third proportional to 648.42 and 1,566.63 is: 3,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 1,566.63 = 1,566.63 : x
  2. Step 2: Convert to fraction form
    648.42/1,566.63 = 1,566.63/x
  3. Step 3: Cross multiply
    648.42x = 1,566.63 × 1,566.63
  4. Step 4: Simplify right side
    648.42x = 2,454,338.37
  5. Step 5: Solve for x
    x = 2,454,338.37/648.42
  6. Step 6: Final answer
    x = 3,785.09

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.