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Finding the Third Proportional to 210.88 and 286.94

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Solution

The third proportional to 210.88 and 286.94 is: 390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 286.94 = 286.94 : x
  2. Step 2: Convert to fraction form
    210.88/286.94 = 286.94/x
  3. Step 3: Cross multiply
    210.88x = 286.94 × 286.94
  4. Step 4: Simplify right side
    210.88x = 82,333.13
  5. Step 5: Solve for x
    x = 82,333.13/210.88
  6. Step 6: Final answer
    x = 390.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.