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Finding the Third Proportional to 197,016 and 312,017.63

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Solution

The third proportional to 197,016 and 312,017.63 is: 494,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,016 : 312,017.63 = 312,017.63 : x
  2. Step 2: Convert to fraction form
    197,016/312,017.63 = 312,017.63/x
  3. Step 3: Cross multiply
    197,016x = 312,017.63 × 312,017.63
  4. Step 4: Simplify right side
    197,016x = 97,354,998,310.64
  5. Step 5: Solve for x
    x = 97,354,998,310.64/197,016
  6. Step 6: Final answer
    x = 494,147.67

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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.