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Finding the Third Proportional to 278.58 and 609.05

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Solution

The third proportional to 278.58 and 609.05 is: 1,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.58 : 609.05 = 609.05 : x
  2. Step 2: Convert to fraction form
    278.58/609.05 = 609.05/x
  3. Step 3: Cross multiply
    278.58x = 609.05 × 609.05
  4. Step 4: Simplify right side
    278.58x = 370,938.10
  5. Step 5: Solve for x
    x = 370,938.10/278.58
  6. Step 6: Final answer
    x = 1,331.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.