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Finding the Third Proportional to 455,878 and 668,995

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Solution

The third proportional to 455,878 and 668,995 is: 981,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,878 : 668,995 = 668,995 : x
  2. Step 2: Convert to fraction form
    455,878/668,995 = 668,995/x
  3. Step 3: Cross multiply
    455,878x = 668,995 × 668,995
  4. Step 4: Simplify right side
    455,878x = 447,554,310,025
  5. Step 5: Solve for x
    x = 447,554,310,025/455,878
  6. Step 6: Final answer
    x = 981,741.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.