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Finding the Third Proportional to 70,329 and 143,268

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Solution

The third proportional to 70,329 and 143,268 is: 291,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,329 : 143,268 = 143,268 : x
  2. Step 2: Convert to fraction form
    70,329/143,268 = 143,268/x
  3. Step 3: Cross multiply
    70,329x = 143,268 × 143,268
  4. Step 4: Simplify right side
    70,329x = 20,525,719,824
  5. Step 5: Solve for x
    x = 20,525,719,824/70,329
  6. Step 6: Final answer
    x = 291,852.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.