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Finding the Third Proportional to 278.60 and 589.31

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Solution

The third proportional to 278.60 and 589.31 is: 1,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 589.31 = 589.31 : x
  2. Step 2: Convert to fraction form
    278.60/589.31 = 589.31/x
  3. Step 3: Cross multiply
    278.60x = 589.31 × 589.31
  4. Step 4: Simplify right side
    278.60x = 347,282.32
  5. Step 5: Solve for x
    x = 347,282.32/278.60
  6. Step 6: Final answer
    x = 1,246.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.