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Finding the Third Proportional to 388.94 and 615.88

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Solution

The third proportional to 388.94 and 615.88 is: 975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 615.88 = 615.88 : x
  2. Step 2: Convert to fraction form
    388.94/615.88 = 615.88/x
  3. Step 3: Cross multiply
    388.94x = 615.88 × 615.88
  4. Step 4: Simplify right side
    388.94x = 379,302.02
  5. Step 5: Solve for x
    x = 379,302.02/388.94
  6. Step 6: Final answer
    x = 975.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.