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Finding the Third Proportional to 301,749.75 and 647,311.50

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Solution

The third proportional to 301,749.75 and 647,311.50 is: 1,388,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,749.75 : 647,311.50 = 647,311.50 : x
  2. Step 2: Convert to fraction form
    301,749.75/647,311.50 = 647,311.50/x
  3. Step 3: Cross multiply
    301,749.75x = 647,311.50 × 647,311.50
  4. Step 4: Simplify right side
    301,749.75x = 419,012,178,032.25
  5. Step 5: Solve for x
    x = 419,012,178,032.25/301,749.75
  6. Step 6: Final answer
    x = 1,388,608.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.