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Finding the Third Proportional to 892.69 and 1,389.75

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Solution

The third proportional to 892.69 and 1,389.75 is: 2,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.69 : 1,389.75 = 1,389.75 : x
  2. Step 2: Convert to fraction form
    892.69/1,389.75 = 1,389.75/x
  3. Step 3: Cross multiply
    892.69x = 1,389.75 × 1,389.75
  4. Step 4: Simplify right side
    892.69x = 1,931,405.06
  5. Step 5: Solve for x
    x = 1,931,405.06/892.69
  6. Step 6: Final answer
    x = 2,163.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.