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Finding the Third Proportional to 120,931 and 190,670

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Solution

The third proportional to 120,931 and 190,670 is: 300,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,931 : 190,670 = 190,670 : x
  2. Step 2: Convert to fraction form
    120,931/190,670 = 190,670/x
  3. Step 3: Cross multiply
    120,931x = 190,670 × 190,670
  4. Step 4: Simplify right side
    120,931x = 36,355,048,900
  5. Step 5: Solve for x
    x = 36,355,048,900/120,931
  6. Step 6: Final answer
    x = 300,626.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.