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Finding the Third Proportional to 517.69 and 808.03

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Solution

The third proportional to 517.69 and 808.03 is: 1,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.69 : 808.03 = 808.03 : x
  2. Step 2: Convert to fraction form
    517.69/808.03 = 808.03/x
  3. Step 3: Cross multiply
    517.69x = 808.03 × 808.03
  4. Step 4: Simplify right side
    517.69x = 652,914.50
  5. Step 5: Solve for x
    x = 652,914.50/517.69
  6. Step 6: Final answer
    x = 1,261.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.