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Finding the Third Proportional to 197,967 and 318,739.50

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Solution

The third proportional to 197,967 and 318,739.50 is: 513,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,967 : 318,739.50 = 318,739.50 : x
  2. Step 2: Convert to fraction form
    197,967/318,739.50 = 318,739.50/x
  3. Step 3: Cross multiply
    197,967x = 318,739.50 × 318,739.50
  4. Step 4: Simplify right side
    197,967x = 101,594,868,860.25
  5. Step 5: Solve for x
    x = 101,594,868,860.25/197,967
  6. Step 6: Final answer
    x = 513,190.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.