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Finding the Third Proportional to 266.47 and 579.03

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Solution

The third proportional to 266.47 and 579.03 is: 1,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.47 : 579.03 = 579.03 : x
  2. Step 2: Convert to fraction form
    266.47/579.03 = 579.03/x
  3. Step 3: Cross multiply
    266.47x = 579.03 × 579.03
  4. Step 4: Simplify right side
    266.47x = 335,277.19
  5. Step 5: Solve for x
    x = 335,277.19/266.47
  6. Step 6: Final answer
    x = 1,258.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.