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Finding the Third Proportional to 351,122 and 828,360

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Solution

The third proportional to 351,122 and 828,360 is: 1,954,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,122 : 828,360 = 828,360 : x
  2. Step 2: Convert to fraction form
    351,122/828,360 = 828,360/x
  3. Step 3: Cross multiply
    351,122x = 828,360 × 828,360
  4. Step 4: Simplify right side
    351,122x = 686,180,289,600
  5. Step 5: Solve for x
    x = 686,180,289,600/351,122
  6. Step 6: Final answer
    x = 1,954,250.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.