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Finding the Third Proportional to 278.65 and 433.37

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Solution

The third proportional to 278.65 and 433.37 is: 674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 433.37 = 433.37 : x
  2. Step 2: Convert to fraction form
    278.65/433.37 = 433.37/x
  3. Step 3: Cross multiply
    278.65x = 433.37 × 433.37
  4. Step 4: Simplify right side
    278.65x = 187,810.50
  5. Step 5: Solve for x
    x = 187,810.50/278.65
  6. Step 6: Final answer
    x = 674.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.