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Finding the Third Proportional to 147,986 and 209,400

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Solution

The third proportional to 147,986 and 209,400 is: 296,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,986 : 209,400 = 209,400 : x
  2. Step 2: Convert to fraction form
    147,986/209,400 = 209,400/x
  3. Step 3: Cross multiply
    147,986x = 209,400 × 209,400
  4. Step 4: Simplify right side
    147,986x = 43,848,360,000
  5. Step 5: Solve for x
    x = 43,848,360,000/147,986
  6. Step 6: Final answer
    x = 296,300.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.