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Finding the Third Proportional to 447,389 and 677,598

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Solution

The third proportional to 447,389 and 677,598 is: 1,026,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,389 : 677,598 = 677,598 : x
  2. Step 2: Convert to fraction form
    447,389/677,598 = 677,598/x
  3. Step 3: Cross multiply
    447,389x = 677,598 × 677,598
  4. Step 4: Simplify right side
    447,389x = 459,139,049,604
  5. Step 5: Solve for x
    x = 459,139,049,604/447,389
  6. Step 6: Final answer
    x = 1,026,263.61

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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.