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Finding the Third Proportional to 620,617.75 and 948,977.25

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Solution

The third proportional to 620,617.75 and 948,977.25 is: 1,451,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,617.75 : 948,977.25 = 948,977.25 : x
  2. Step 2: Convert to fraction form
    620,617.75/948,977.25 = 948,977.25/x
  3. Step 3: Cross multiply
    620,617.75x = 948,977.25 × 948,977.25
  4. Step 4: Simplify right side
    620,617.75x = 900,557,821,017.56
  5. Step 5: Solve for x
    x = 900,557,821,017.56/620,617.75
  6. Step 6: Final answer
    x = 1,451,066.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.