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Finding the Third Proportional to 344.02 and 753.28

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Solution

The third proportional to 344.02 and 753.28 is: 1,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.02 : 753.28 = 753.28 : x
  2. Step 2: Convert to fraction form
    344.02/753.28 = 753.28/x
  3. Step 3: Cross multiply
    344.02x = 753.28 × 753.28
  4. Step 4: Simplify right side
    344.02x = 567,432.64
  5. Step 5: Solve for x
    x = 567,432.64/344.02
  6. Step 6: Final answer
    x = 1,649.44

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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.