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Finding the Third Proportional to 386.88 and 857.13

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Solution

The third proportional to 386.88 and 857.13 is: 1,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 857.13 = 857.13 : x
  2. Step 2: Convert to fraction form
    386.88/857.13 = 857.13/x
  3. Step 3: Cross multiply
    386.88x = 857.13 × 857.13
  4. Step 4: Simplify right side
    386.88x = 734,663.27
  5. Step 5: Solve for x
    x = 734,663.27/386.88
  6. Step 6: Final answer
    x = 1,898.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.