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Finding the Third Proportional to 210.25 and 512.88

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Solution

The third proportional to 210.25 and 512.88 is: 1,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 512.88 = 512.88 : x
  2. Step 2: Convert to fraction form
    210.25/512.88 = 512.88/x
  3. Step 3: Cross multiply
    210.25x = 512.88 × 512.88
  4. Step 4: Simplify right side
    210.25x = 263,040.77
  5. Step 5: Solve for x
    x = 263,040.77/210.25
  6. Step 6: Final answer
    x = 1,251.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.