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Finding the Third Proportional to 371.62 and 512.58

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Solution

The third proportional to 371.62 and 512.58 is: 707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 512.58 = 512.58 : x
  2. Step 2: Convert to fraction form
    371.62/512.58 = 512.58/x
  3. Step 3: Cross multiply
    371.62x = 512.58 × 512.58
  4. Step 4: Simplify right side
    371.62x = 262,736.33
  5. Step 5: Solve for x
    x = 262,736.33/371.62
  6. Step 6: Final answer
    x = 707.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.