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Finding the Third Proportional to 458,832 and 984,114

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Solution

The third proportional to 458,832 and 984,114 is: 2,110,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,832 : 984,114 = 984,114 : x
  2. Step 2: Convert to fraction form
    458,832/984,114 = 984,114/x
  3. Step 3: Cross multiply
    458,832x = 984,114 × 984,114
  4. Step 4: Simplify right side
    458,832x = 968,480,364,996
  5. Step 5: Solve for x
    x = 968,480,364,996/458,832
  6. Step 6: Final answer
    x = 2,110,751.57

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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.