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Finding the Third Proportional to 343 and 749.75

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Solution

The third proportional to 343 and 749.75 is: 1,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 749.75 = 749.75 : x
  2. Step 2: Convert to fraction form
    343/749.75 = 749.75/x
  3. Step 3: Cross multiply
    343x = 749.75 × 749.75
  4. Step 4: Simplify right side
    343x = 562,125.06
  5. Step 5: Solve for x
    x = 562,125.06/343
  6. Step 6: Final answer
    x = 1,638.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.