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Finding the Third Proportional to 334.13 and 711.28

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Solution

The third proportional to 334.13 and 711.28 is: 1,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 711.28 = 711.28 : x
  2. Step 2: Convert to fraction form
    334.13/711.28 = 711.28/x
  3. Step 3: Cross multiply
    334.13x = 711.28 × 711.28
  4. Step 4: Simplify right side
    334.13x = 505,921.02
  5. Step 5: Solve for x
    x = 505,921.02/334.13
  6. Step 6: Final answer
    x = 1,514.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.