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Finding the Third Proportional to 278.06 and 348.56

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Solution

The third proportional to 278.06 and 348.56 is: 436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 348.56 = 348.56 : x
  2. Step 2: Convert to fraction form
    278.06/348.56 = 348.56/x
  3. Step 3: Cross multiply
    278.06x = 348.56 × 348.56
  4. Step 4: Simplify right side
    278.06x = 121,495.82
  5. Step 5: Solve for x
    x = 121,495.82/278.06
  6. Step 6: Final answer
    x = 436.94

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.