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Finding the Third Proportional to 389.81 and 911.06

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Solution

The third proportional to 389.81 and 911.06 is: 2,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 911.06 = 911.06 : x
  2. Step 2: Convert to fraction form
    389.81/911.06 = 911.06/x
  3. Step 3: Cross multiply
    389.81x = 911.06 × 911.06
  4. Step 4: Simplify right side
    389.81x = 830,034.88
  5. Step 5: Solve for x
    x = 830,034.88/389.81
  6. Step 6: Final answer
    x = 2,129.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.