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Finding the Third Proportional to 278.44 and 405.32

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Solution

The third proportional to 278.44 and 405.32 is: 590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 405.32 = 405.32 : x
  2. Step 2: Convert to fraction form
    278.44/405.32 = 405.32/x
  3. Step 3: Cross multiply
    278.44x = 405.32 × 405.32
  4. Step 4: Simplify right side
    278.44x = 164,281.39
  5. Step 5: Solve for x
    x = 164,281.39/278.44
  6. Step 6: Final answer
    x = 590.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.