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Finding the Third Proportional to 858.38 and 1,369.27

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Solution

The third proportional to 858.38 and 1,369.27 is: 2,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,369.27 = 1,369.27 : x
  2. Step 2: Convert to fraction form
    858.38/1,369.27 = 1,369.27/x
  3. Step 3: Cross multiply
    858.38x = 1,369.27 × 1,369.27
  4. Step 4: Simplify right side
    858.38x = 1,874,888.35
  5. Step 5: Solve for x
    x = 1,874,888.35/858.38
  6. Step 6: Final answer
    x = 2,184.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.