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Finding the Third Proportional to 158,867 and 349,219

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Solution

The third proportional to 158,867 and 349,219 is: 767,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,867 : 349,219 = 349,219 : x
  2. Step 2: Convert to fraction form
    158,867/349,219 = 349,219/x
  3. Step 3: Cross multiply
    158,867x = 349,219 × 349,219
  4. Step 4: Simplify right side
    158,867x = 121,953,909,961
  5. Step 5: Solve for x
    x = 121,953,909,961/158,867
  6. Step 6: Final answer
    x = 767,647.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.