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Finding the Third Proportional to 210.75 and 370.31

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Solution

The third proportional to 210.75 and 370.31 is: 650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.75 : 370.31 = 370.31 : x
  2. Step 2: Convert to fraction form
    210.75/370.31 = 370.31/x
  3. Step 3: Cross multiply
    210.75x = 370.31 × 370.31
  4. Step 4: Simplify right side
    210.75x = 137,131.35
  5. Step 5: Solve for x
    x = 137,131.35/210.75
  6. Step 6: Final answer
    x = 650.68

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.