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Finding the Third Proportional to 210.64 and 438.09

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Solution

The third proportional to 210.64 and 438.09 is: 911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 438.09 = 438.09 : x
  2. Step 2: Convert to fraction form
    210.64/438.09 = 438.09/x
  3. Step 3: Cross multiply
    210.64x = 438.09 × 438.09
  4. Step 4: Simplify right side
    210.64x = 191,926.45
  5. Step 5: Solve for x
    x = 191,926.45/210.64
  6. Step 6: Final answer
    x = 911.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.