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Finding the Third Proportional to 313.24 and 492.64

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Solution

The third proportional to 313.24 and 492.64 is: 774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 492.64 = 492.64 : x
  2. Step 2: Convert to fraction form
    313.24/492.64 = 492.64/x
  3. Step 3: Cross multiply
    313.24x = 492.64 × 492.64
  4. Step 4: Simplify right side
    313.24x = 242,698.63
  5. Step 5: Solve for x
    x = 242,698.63/313.24
  6. Step 6: Final answer
    x = 774.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.