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Finding the Third Proportional to 208.09 and 456.05

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Solution

The third proportional to 208.09 and 456.05 is: 999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.09 : 456.05 = 456.05 : x
  2. Step 2: Convert to fraction form
    208.09/456.05 = 456.05/x
  3. Step 3: Cross multiply
    208.09x = 456.05 × 456.05
  4. Step 4: Simplify right side
    208.09x = 207,978.75
  5. Step 5: Solve for x
    x = 207,978.75/208.09
  6. Step 6: Final answer
    x = 999.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.