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Finding the Third Proportional to 278.75 and 589.38

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Solution

The third proportional to 278.75 and 589.38 is: 1,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 589.38 = 589.38 : x
  2. Step 2: Convert to fraction form
    278.75/589.38 = 589.38/x
  3. Step 3: Cross multiply
    278.75x = 589.38 × 589.38
  4. Step 4: Simplify right side
    278.75x = 347,362.89
  5. Step 5: Solve for x
    x = 347,362.89/278.75
  6. Step 6: Final answer
    x = 1,246.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.