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Finding the Third Proportional to 620,859 and 1,330,266

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Solution

The third proportional to 620,859 and 1,330,266 is: 2,850,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,859 : 1,330,266 = 1,330,266 : x
  2. Step 2: Convert to fraction form
    620,859/1,330,266 = 1,330,266/x
  3. Step 3: Cross multiply
    620,859x = 1,330,266 × 1,330,266
  4. Step 4: Simplify right side
    620,859x = 1,769,607,630,756
  5. Step 5: Solve for x
    x = 1,769,607,630,756/620,859
  6. Step 6: Final answer
    x = 2,850,256.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.