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Finding the Third Proportional to 388.88 and 816.19

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Solution

The third proportional to 388.88 and 816.19 is: 1,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.88 : 816.19 = 816.19 : x
  2. Step 2: Convert to fraction form
    388.88/816.19 = 816.19/x
  3. Step 3: Cross multiply
    388.88x = 816.19 × 816.19
  4. Step 4: Simplify right side
    388.88x = 666,162.04
  5. Step 5: Solve for x
    x = 666,162.04/388.88
  6. Step 6: Final answer
    x = 1,713.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.