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Finding the Third Proportional to 447,426 and 677,655

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Solution

The third proportional to 447,426 and 677,655 is: 1,026,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,426 : 677,655 = 677,655 : x
  2. Step 2: Convert to fraction form
    447,426/677,655 = 677,655/x
  3. Step 3: Cross multiply
    447,426x = 677,655 × 677,655
  4. Step 4: Simplify right side
    447,426x = 459,216,299,025
  5. Step 5: Solve for x
    x = 459,216,299,025/447,426
  6. Step 6: Final answer
    x = 1,026,351.39

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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.