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Finding the Third Proportional to 354.63 and 547.81

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Solution

The third proportional to 354.63 and 547.81 is: 846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.63 : 547.81 = 547.81 : x
  2. Step 2: Convert to fraction form
    354.63/547.81 = 547.81/x
  3. Step 3: Cross multiply
    354.63x = 547.81 × 547.81
  4. Step 4: Simplify right side
    354.63x = 300,098.54
  5. Step 5: Solve for x
    x = 300,098.54/354.63
  6. Step 6: Final answer
    x = 846.24

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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.