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Finding the Third Proportional to 419,268 and 931,416

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Solution

The third proportional to 419,268 and 931,416 is: 2,069,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,268 : 931,416 = 931,416 : x
  2. Step 2: Convert to fraction form
    419,268/931,416 = 931,416/x
  3. Step 3: Cross multiply
    419,268x = 931,416 × 931,416
  4. Step 4: Simplify right side
    419,268x = 867,535,765,056
  5. Step 5: Solve for x
    x = 867,535,765,056/419,268
  6. Step 6: Final answer
    x = 2,069,167.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.