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Finding the Third Proportional to 742.88 and 1,569.56

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Solution

The third proportional to 742.88 and 1,569.56 is: 3,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.88 : 1,569.56 = 1,569.56 : x
  2. Step 2: Convert to fraction form
    742.88/1,569.56 = 1,569.56/x
  3. Step 3: Cross multiply
    742.88x = 1,569.56 × 1,569.56
  4. Step 4: Simplify right side
    742.88x = 2,463,526.44
  5. Step 5: Solve for x
    x = 2,463,526.44/742.88
  6. Step 6: Final answer
    x = 3,316.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.