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Finding the Third Proportional to 264.75 and 389.25

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Solution

The third proportional to 264.75 and 389.25 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 389.25 = 389.25 : x
  2. Step 2: Convert to fraction form
    264.75/389.25 = 389.25/x
  3. Step 3: Cross multiply
    264.75x = 389.25 × 389.25
  4. Step 4: Simplify right side
    264.75x = 151,515.56
  5. Step 5: Solve for x
    x = 151,515.56/264.75
  6. Step 6: Final answer
    x = 572.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.