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Finding the Third Proportional to 330,410.25 and 477,015.75

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Solution

The third proportional to 330,410.25 and 477,015.75 is: 688,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,410.25 : 477,015.75 = 477,015.75 : x
  2. Step 2: Convert to fraction form
    330,410.25/477,015.75 = 477,015.75/x
  3. Step 3: Cross multiply
    330,410.25x = 477,015.75 × 477,015.75
  4. Step 4: Simplify right side
    330,410.25x = 227,544,025,748.06
  5. Step 5: Solve for x
    x = 227,544,025,748.06/330,410.25
  6. Step 6: Final answer
    x = 688,671.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.