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Finding the Third Proportional to 511.13 and 703.31

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Solution

The third proportional to 511.13 and 703.31 is: 967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 703.31 = 703.31 : x
  2. Step 2: Convert to fraction form
    511.13/703.31 = 703.31/x
  3. Step 3: Cross multiply
    511.13x = 703.31 × 703.31
  4. Step 4: Simplify right side
    511.13x = 494,648.47
  5. Step 5: Solve for x
    x = 494,648.47/511.13
  6. Step 6: Final answer
    x = 967.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.