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Finding the Third Proportional to 757.31 and 1,652.81

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Solution

The third proportional to 757.31 and 1,652.81 is: 3,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.31 : 1,652.81 = 1,652.81 : x
  2. Step 2: Convert to fraction form
    757.31/1,652.81 = 1,652.81/x
  3. Step 3: Cross multiply
    757.31x = 1,652.81 × 1,652.81
  4. Step 4: Simplify right side
    757.31x = 2,731,789.16
  5. Step 5: Solve for x
    x = 2,731,789.16/757.31
  6. Step 6: Final answer
    x = 3,607.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.