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Finding the Third Proportional to 351.28 and 540.70

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Solution

The third proportional to 351.28 and 540.70 is: 832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.28 : 540.70 = 540.70 : x
  2. Step 2: Convert to fraction form
    351.28/540.70 = 540.70/x
  3. Step 3: Cross multiply
    351.28x = 540.70 × 540.70
  4. Step 4: Simplify right side
    351.28x = 292,359.87
  5. Step 5: Solve for x
    x = 292,359.87/351.28
  6. Step 6: Final answer
    x = 832.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.