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Finding the Third Proportional to 388.97 and 565.31

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Solution

The third proportional to 388.97 and 565.31 is: 821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 565.31 = 565.31 : x
  2. Step 2: Convert to fraction form
    388.97/565.31 = 565.31/x
  3. Step 3: Cross multiply
    388.97x = 565.31 × 565.31
  4. Step 4: Simplify right side
    388.97x = 319,578.22
  5. Step 5: Solve for x
    x = 319,578.22/388.97
  6. Step 6: Final answer
    x = 821.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.