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Finding the Third Proportional to 208.69 and 555.19

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Solution

The third proportional to 208.69 and 555.19 is: 1,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 555.19 = 555.19 : x
  2. Step 2: Convert to fraction form
    208.69/555.19 = 555.19/x
  3. Step 3: Cross multiply
    208.69x = 555.19 × 555.19
  4. Step 4: Simplify right side
    208.69x = 308,233.16
  5. Step 5: Solve for x
    x = 308,233.16/208.69
  6. Step 6: Final answer
    x = 1,477.01

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.