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Finding the Third Proportional to 389.24 and 828.93

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Solution

The third proportional to 389.24 and 828.93 is: 1,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.24 : 828.93 = 828.93 : x
  2. Step 2: Convert to fraction form
    389.24/828.93 = 828.93/x
  3. Step 3: Cross multiply
    389.24x = 828.93 × 828.93
  4. Step 4: Simplify right side
    389.24x = 687,133.13
  5. Step 5: Solve for x
    x = 687,133.13/389.24
  6. Step 6: Final answer
    x = 1,765.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.