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Finding the Third Proportional to 340.56 and 713.18

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Solution

The third proportional to 340.56 and 713.18 is: 1,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 713.18 = 713.18 : x
  2. Step 2: Convert to fraction form
    340.56/713.18 = 713.18/x
  3. Step 3: Cross multiply
    340.56x = 713.18 × 713.18
  4. Step 4: Simplify right side
    340.56x = 508,625.27
  5. Step 5: Solve for x
    x = 508,625.27/340.56
  6. Step 6: Final answer
    x = 1,493.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.