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Finding the Third Proportional to 386.23 and 589.15

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Solution

The third proportional to 386.23 and 589.15 is: 898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 589.15 = 589.15 : x
  2. Step 2: Convert to fraction form
    386.23/589.15 = 589.15/x
  3. Step 3: Cross multiply
    386.23x = 589.15 × 589.15
  4. Step 4: Simplify right side
    386.23x = 347,095.88
  5. Step 5: Solve for x
    x = 347,095.88/386.23
  6. Step 6: Final answer
    x = 898.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.