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Finding the Third Proportional to 628,005 and 1,360,266

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Solution

The third proportional to 628,005 and 1,360,266 is: 2,946,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,005 : 1,360,266 = 1,360,266 : x
  2. Step 2: Convert to fraction form
    628,005/1,360,266 = 1,360,266/x
  3. Step 3: Cross multiply
    628,005x = 1,360,266 × 1,360,266
  4. Step 4: Simplify right side
    628,005x = 1,850,323,590,756
  5. Step 5: Solve for x
    x = 1,850,323,590,756/628,005
  6. Step 6: Final answer
    x = 2,946,351.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.