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Finding the Third Proportional to 455,340 and 684,477

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Solution

The third proportional to 455,340 and 684,477 is: 1,028,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,340 : 684,477 = 684,477 : x
  2. Step 2: Convert to fraction form
    455,340/684,477 = 684,477/x
  3. Step 3: Cross multiply
    455,340x = 684,477 × 684,477
  4. Step 4: Simplify right side
    455,340x = 468,508,763,529
  5. Step 5: Solve for x
    x = 468,508,763,529/455,340
  6. Step 6: Final answer
    x = 1,028,920.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.