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Finding the Third Proportional to 664.31 and 1,564.03

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Solution

The third proportional to 664.31 and 1,564.03 is: 3,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 1,564.03 = 1,564.03 : x
  2. Step 2: Convert to fraction form
    664.31/1,564.03 = 1,564.03/x
  3. Step 3: Cross multiply
    664.31x = 1,564.03 × 1,564.03
  4. Step 4: Simplify right side
    664.31x = 2,446,193.75
  5. Step 5: Solve for x
    x = 2,446,193.75/664.31
  6. Step 6: Final answer
    x = 3,682.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.