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Finding the Third Proportional to 152.06 and 320.44

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Solution

The third proportional to 152.06 and 320.44 is: 675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 320.44 = 320.44 : x
  2. Step 2: Convert to fraction form
    152.06/320.44 = 320.44/x
  3. Step 3: Cross multiply
    152.06x = 320.44 × 320.44
  4. Step 4: Simplify right side
    152.06x = 102,680.19
  5. Step 5: Solve for x
    x = 102,680.19/152.06
  6. Step 6: Final answer
    x = 675.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.