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Finding the Third Proportional to 557.51 and 850.82

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Solution

The third proportional to 557.51 and 850.82 is: 1,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.51 : 850.82 = 850.82 : x
  2. Step 2: Convert to fraction form
    557.51/850.82 = 850.82/x
  3. Step 3: Cross multiply
    557.51x = 850.82 × 850.82
  4. Step 4: Simplify right side
    557.51x = 723,888.56
  5. Step 5: Solve for x
    x = 723,888.56/557.51
  6. Step 6: Final answer
    x = 1,298.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.