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Finding the Third Proportional to 434,020 and 667,878

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Solution

The third proportional to 434,020 and 667,878 is: 1,027,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,020 : 667,878 = 667,878 : x
  2. Step 2: Convert to fraction form
    434,020/667,878 = 667,878/x
  3. Step 3: Cross multiply
    434,020x = 667,878 × 667,878
  4. Step 4: Simplify right side
    434,020x = 446,061,022,884
  5. Step 5: Solve for x
    x = 446,061,022,884/434,020
  6. Step 6: Final answer
    x = 1,027,743.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.