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Finding the Third Proportional to 454,340 and 687,878

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Solution

The third proportional to 454,340 and 687,878 is: 1,041,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,340 : 687,878 = 687,878 : x
  2. Step 2: Convert to fraction form
    454,340/687,878 = 687,878/x
  3. Step 3: Cross multiply
    454,340x = 687,878 × 687,878
  4. Step 4: Simplify right side
    454,340x = 473,176,142,884
  5. Step 5: Solve for x
    x = 473,176,142,884/454,340
  6. Step 6: Final answer
    x = 1,041,458.25

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Why These Related Problems?

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