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Finding the Third Proportional to 448,890 and 677,994

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Solution

The third proportional to 448,890 and 677,994 is: 1,024,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,890 : 677,994 = 677,994 : x
  2. Step 2: Convert to fraction form
    448,890/677,994 = 677,994/x
  3. Step 3: Cross multiply
    448,890x = 677,994 × 677,994
  4. Step 4: Simplify right side
    448,890x = 459,675,864,036
  5. Step 5: Solve for x
    x = 459,675,864,036/448,890
  6. Step 6: Final answer
    x = 1,024,027.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.