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Finding the Third Proportional to 210.94 and 456.09

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Solution

The third proportional to 210.94 and 456.09 is: 986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 456.09 = 456.09 : x
  2. Step 2: Convert to fraction form
    210.94/456.09 = 456.09/x
  3. Step 3: Cross multiply
    210.94x = 456.09 × 456.09
  4. Step 4: Simplify right side
    210.94x = 208,021.51
  5. Step 5: Solve for x
    x = 208,021.51/210.94
  6. Step 6: Final answer
    x = 986.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.