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Finding the Third Proportional to 552.45 and 821.07

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Solution

The third proportional to 552.45 and 821.07 is: 1,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 821.07 = 821.07 : x
  2. Step 2: Convert to fraction form
    552.45/821.07 = 821.07/x
  3. Step 3: Cross multiply
    552.45x = 821.07 × 821.07
  4. Step 4: Simplify right side
    552.45x = 674,162.87
  5. Step 5: Solve for x
    x = 674,162.87/552.45
  6. Step 6: Final answer
    x = 1,220.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.