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Finding the Third Proportional to 147.06 and 319.44

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Solution

The third proportional to 147.06 and 319.44 is: 693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 319.44 = 319.44 : x
  2. Step 2: Convert to fraction form
    147.06/319.44 = 319.44/x
  3. Step 3: Cross multiply
    147.06x = 319.44 × 319.44
  4. Step 4: Simplify right side
    147.06x = 102,040.32
  5. Step 5: Solve for x
    x = 102,040.32/147.06
  6. Step 6: Final answer
    x = 693.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.