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Finding the Third Proportional to 454,212.75 and 985,697.25

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Solution

The third proportional to 454,212.75 and 985,697.25 is: 2,139,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,212.75 : 985,697.25 = 985,697.25 : x
  2. Step 2: Convert to fraction form
    454,212.75/985,697.25 = 985,697.25/x
  3. Step 3: Cross multiply
    454,212.75x = 985,697.25 × 985,697.25
  4. Step 4: Simplify right side
    454,212.75x = 971,599,068,657.56
  5. Step 5: Solve for x
    x = 971,599,068,657.56/454,212.75
  6. Step 6: Final answer
    x = 2,139,083.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.