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Finding the Third Proportional to 313.56 and 553.71

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Solution

The third proportional to 313.56 and 553.71 is: 977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 553.71 = 553.71 : x
  2. Step 2: Convert to fraction form
    313.56/553.71 = 553.71/x
  3. Step 3: Cross multiply
    313.56x = 553.71 × 553.71
  4. Step 4: Simplify right side
    313.56x = 306,595.80
  5. Step 5: Solve for x
    x = 306,595.80/313.56
  6. Step 6: Final answer
    x = 977.79

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.