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Finding the Third Proportional to 557.31 and 850.81

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Solution

The third proportional to 557.31 and 850.81 is: 1,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 850.81 = 850.81 : x
  2. Step 2: Convert to fraction form
    557.31/850.81 = 850.81/x
  3. Step 3: Cross multiply
    557.31x = 850.81 × 850.81
  4. Step 4: Simplify right side
    557.31x = 723,881.91
  5. Step 5: Solve for x
    x = 723,881.91/557.31
  6. Step 6: Final answer
    x = 1,298.88

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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.