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Finding the Third Proportional to 165,318 and 360,120

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Solution

The third proportional to 165,318 and 360,120 is: 784,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,318 : 360,120 = 360,120 : x
  2. Step 2: Convert to fraction form
    165,318/360,120 = 360,120/x
  3. Step 3: Cross multiply
    165,318x = 360,120 × 360,120
  4. Step 4: Simplify right side
    165,318x = 129,686,414,400
  5. Step 5: Solve for x
    x = 129,686,414,400/165,318
  6. Step 6: Final answer
    x = 784,466.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.