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Finding the Third Proportional to 278.88 and 368.44

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Solution

The third proportional to 278.88 and 368.44 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 368.44 = 368.44 : x
  2. Step 2: Convert to fraction form
    278.88/368.44 = 368.44/x
  3. Step 3: Cross multiply
    278.88x = 368.44 × 368.44
  4. Step 4: Simplify right side
    278.88x = 135,746.19
  5. Step 5: Solve for x
    x = 135,746.19/278.88
  6. Step 6: Final answer
    x = 486.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.