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Finding the Third Proportional to 211.06 and 493.06

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Solution

The third proportional to 211.06 and 493.06 is: 1,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 493.06 = 493.06 : x
  2. Step 2: Convert to fraction form
    211.06/493.06 = 493.06/x
  3. Step 3: Cross multiply
    211.06x = 493.06 × 493.06
  4. Step 4: Simplify right side
    211.06x = 243,110.63
  5. Step 5: Solve for x
    x = 243,110.63/211.06
  6. Step 6: Final answer
    x = 1,151.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.