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Finding the Third Proportional to 388.97 and 900.84

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Solution

The third proportional to 388.97 and 900.84 is: 2,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 900.84 = 900.84 : x
  2. Step 2: Convert to fraction form
    388.97/900.84 = 900.84/x
  3. Step 3: Cross multiply
    388.97x = 900.84 × 900.84
  4. Step 4: Simplify right side
    388.97x = 811,519.46
  5. Step 5: Solve for x
    x = 811,519.46/388.97
  6. Step 6: Final answer
    x = 2,086.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.