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Finding the Third Proportional to 750.56 and 1,638.09

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Solution

The third proportional to 750.56 and 1,638.09 is: 3,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.56 : 1,638.09 = 1,638.09 : x
  2. Step 2: Convert to fraction form
    750.56/1,638.09 = 1,638.09/x
  3. Step 3: Cross multiply
    750.56x = 1,638.09 × 1,638.09
  4. Step 4: Simplify right side
    750.56x = 2,683,351.13
  5. Step 5: Solve for x
    x = 2,683,351.13/750.56
  6. Step 6: Final answer
    x = 3,575.12

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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.