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Finding the Third Proportional to 278.02 and 666.56

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Solution

The third proportional to 278.02 and 666.56 is: 1,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 666.56 = 666.56 : x
  2. Step 2: Convert to fraction form
    278.02/666.56 = 666.56/x
  3. Step 3: Cross multiply
    278.02x = 666.56 × 666.56
  4. Step 4: Simplify right side
    278.02x = 444,305.57
  5. Step 5: Solve for x
    x = 444,305.57/278.02
  6. Step 6: Final answer
    x = 1,598.13

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.