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Finding the Third Proportional to 313.59 and 485.16

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Solution

The third proportional to 313.59 and 485.16 is: 750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.59 : 485.16 = 485.16 : x
  2. Step 2: Convert to fraction form
    313.59/485.16 = 485.16/x
  3. Step 3: Cross multiply
    313.59x = 485.16 × 485.16
  4. Step 4: Simplify right side
    313.59x = 235,376.59
  5. Step 5: Solve for x
    x = 235,376.59/313.59
  6. Step 6: Final answer
    x = 750.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.