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Finding the Third Proportional to 645.31 and 1,239.36

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Solution

The third proportional to 645.31 and 1,239.36 is: 2,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.31 : 1,239.36 = 1,239.36 : x
  2. Step 2: Convert to fraction form
    645.31/1,239.36 = 1,239.36/x
  3. Step 3: Cross multiply
    645.31x = 1,239.36 × 1,239.36
  4. Step 4: Simplify right side
    645.31x = 1,536,021.34
  5. Step 5: Solve for x
    x = 1,536,021.34/645.31
  6. Step 6: Final answer
    x = 2,380.28

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.