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Finding the Third Proportional to 387.07 and 930.97

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Solution

The third proportional to 387.07 and 930.97 is: 2,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.07 : 930.97 = 930.97 : x
  2. Step 2: Convert to fraction form
    387.07/930.97 = 930.97/x
  3. Step 3: Cross multiply
    387.07x = 930.97 × 930.97
  4. Step 4: Simplify right side
    387.07x = 866,710.09
  5. Step 5: Solve for x
    x = 866,710.09/387.07
  6. Step 6: Final answer
    x = 2,239.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.