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Finding the Third Proportional to 512,852 and 1,122,220

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Solution

The third proportional to 512,852 and 1,122,220 is: 2,455,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,852 : 1,122,220 = 1,122,220 : x
  2. Step 2: Convert to fraction form
    512,852/1,122,220 = 1,122,220/x
  3. Step 3: Cross multiply
    512,852x = 1,122,220 × 1,122,220
  4. Step 4: Simplify right side
    512,852x = 1,259,377,728,400
  5. Step 5: Solve for x
    x = 1,259,377,728,400/512,852
  6. Step 6: Final answer
    x = 2,455,635.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.