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Finding the Third Proportional to 388.41 and 573.75

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Solution

The third proportional to 388.41 and 573.75 is: 847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.41 : 573.75 = 573.75 : x
  2. Step 2: Convert to fraction form
    388.41/573.75 = 573.75/x
  3. Step 3: Cross multiply
    388.41x = 573.75 × 573.75
  4. Step 4: Simplify right side
    388.41x = 329,189.06
  5. Step 5: Solve for x
    x = 329,189.06/388.41
  6. Step 6: Final answer
    x = 847.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.