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Finding the Third Proportional to 349,980 and 764,112

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Solution

The third proportional to 349,980 and 764,112 is: 1,668,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,980 : 764,112 = 764,112 : x
  2. Step 2: Convert to fraction form
    349,980/764,112 = 764,112/x
  3. Step 3: Cross multiply
    349,980x = 764,112 × 764,112
  4. Step 4: Simplify right side
    349,980x = 583,867,148,544
  5. Step 5: Solve for x
    x = 583,867,148,544/349,980
  6. Step 6: Final answer
    x = 1,668,287.18

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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.