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Finding the Third Proportional to 147.37 and 313.95

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Solution

The third proportional to 147.37 and 313.95 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.37 : 313.95 = 313.95 : x
  2. Step 2: Convert to fraction form
    147.37/313.95 = 313.95/x
  3. Step 3: Cross multiply
    147.37x = 313.95 × 313.95
  4. Step 4: Simplify right side
    147.37x = 98,567.18
  5. Step 5: Solve for x
    x = 98,567.18/147.37
  6. Step 6: Final answer
    x = 668.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.