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Finding the Third Proportional to 450,878 and 674,895

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Solution

The third proportional to 450,878 and 674,895 is: 1,010,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,878 : 674,895 = 674,895 : x
  2. Step 2: Convert to fraction form
    450,878/674,895 = 674,895/x
  3. Step 3: Cross multiply
    450,878x = 674,895 × 674,895
  4. Step 4: Simplify right side
    450,878x = 455,483,261,025
  5. Step 5: Solve for x
    x = 455,483,261,025/450,878
  6. Step 6: Final answer
    x = 1,010,213.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.