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Finding the Third Proportional to 278.06 and 428.53

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Solution

The third proportional to 278.06 and 428.53 is: 660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 428.53 = 428.53 : x
  2. Step 2: Convert to fraction form
    278.06/428.53 = 428.53/x
  3. Step 3: Cross multiply
    278.06x = 428.53 × 428.53
  4. Step 4: Simplify right side
    278.06x = 183,639.03
  5. Step 5: Solve for x
    x = 183,639.03/278.06
  6. Step 6: Final answer
    x = 660.42

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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.