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Finding the Third Proportional to 435,868 and 677,706

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Solution

The third proportional to 435,868 and 677,706 is: 1,053,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,868 : 677,706 = 677,706 : x
  2. Step 2: Convert to fraction form
    435,868/677,706 = 677,706/x
  3. Step 3: Cross multiply
    435,868x = 677,706 × 677,706
  4. Step 4: Simplify right side
    435,868x = 459,285,422,436
  5. Step 5: Solve for x
    x = 459,285,422,436/435,868
  6. Step 6: Final answer
    x = 1,053,725.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.