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Finding the Third Proportional to 165,321 and 360,166.50

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Solution

The third proportional to 165,321 and 360,166.50 is: 784,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,321 : 360,166.50 = 360,166.50 : x
  2. Step 2: Convert to fraction form
    165,321/360,166.50 = 360,166.50/x
  3. Step 3: Cross multiply
    165,321x = 360,166.50 × 360,166.50
  4. Step 4: Simplify right side
    165,321x = 129,719,907,722.25
  5. Step 5: Solve for x
    x = 129,719,907,722.25/165,321
  6. Step 6: Final answer
    x = 784,654.75

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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.