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Finding the Third Proportional to 211.78 and 483.05

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Solution

The third proportional to 211.78 and 483.05 is: 1,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 483.05 = 483.05 : x
  2. Step 2: Convert to fraction form
    211.78/483.05 = 483.05/x
  3. Step 3: Cross multiply
    211.78x = 483.05 × 483.05
  4. Step 4: Simplify right side
    211.78x = 233,334.28
  5. Step 5: Solve for x
    x = 233,334.28/211.78
  6. Step 6: Final answer
    x = 1,101.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.