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Finding the Third Proportional to 406.58 and 544.54

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Solution

The third proportional to 406.58 and 544.54 is: 729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.58 : 544.54 = 544.54 : x
  2. Step 2: Convert to fraction form
    406.58/544.54 = 544.54/x
  3. Step 3: Cross multiply
    406.58x = 544.54 × 544.54
  4. Step 4: Simplify right side
    406.58x = 296,518.54
  5. Step 5: Solve for x
    x = 296,518.54/406.58
  6. Step 6: Final answer
    x = 729.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.