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Finding the Third Proportional to 344.81 and 705.94

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Solution

The third proportional to 344.81 and 705.94 is: 1,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 705.94 = 705.94 : x
  2. Step 2: Convert to fraction form
    344.81/705.94 = 705.94/x
  3. Step 3: Cross multiply
    344.81x = 705.94 × 705.94
  4. Step 4: Simplify right side
    344.81x = 498,347.75
  5. Step 5: Solve for x
    x = 498,347.75/344.81
  6. Step 6: Final answer
    x = 1,445.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.