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Finding the Third Proportional to 453,467 and 677,831

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Solution

The third proportional to 453,467 and 677,831 is: 1,013,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,467 : 677,831 = 677,831 : x
  2. Step 2: Convert to fraction form
    453,467/677,831 = 677,831/x
  3. Step 3: Cross multiply
    453,467x = 677,831 × 677,831
  4. Step 4: Simplify right side
    453,467x = 459,454,864,561
  5. Step 5: Solve for x
    x = 459,454,864,561/453,467
  6. Step 6: Final answer
    x = 1,013,204.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.