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Finding the Third Proportional to 343.78 and 750.28

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Solution

The third proportional to 343.78 and 750.28 is: 1,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.78 : 750.28 = 750.28 : x
  2. Step 2: Convert to fraction form
    343.78/750.28 = 750.28/x
  3. Step 3: Cross multiply
    343.78x = 750.28 × 750.28
  4. Step 4: Simplify right side
    343.78x = 562,921.95
  5. Step 5: Solve for x
    x = 562,921.95/343.78
  6. Step 6: Final answer
    x = 1,637.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.