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Finding the Third Proportional to 435,828 and 677,640

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Solution

The third proportional to 435,828 and 677,640 is: 1,053,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,828 : 677,640 = 677,640 : x
  2. Step 2: Convert to fraction form
    435,828/677,640 = 677,640/x
  3. Step 3: Cross multiply
    435,828x = 677,640 × 677,640
  4. Step 4: Simplify right side
    435,828x = 459,195,969,600
  5. Step 5: Solve for x
    x = 459,195,969,600/435,828
  6. Step 6: Final answer
    x = 1,053,617.41

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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.