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Finding the Third Proportional to 208.72 and 483.26

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Solution

The third proportional to 208.72 and 483.26 is: 1,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 483.26 = 483.26 : x
  2. Step 2: Convert to fraction form
    208.72/483.26 = 483.26/x
  3. Step 3: Cross multiply
    208.72x = 483.26 × 483.26
  4. Step 4: Simplify right side
    208.72x = 233,538.11
  5. Step 5: Solve for x
    x = 233,538.11/208.72
  6. Step 6: Final answer
    x = 1,118.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.