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Finding the Third Proportional to 789,830 and 1,705,515

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Solution

The third proportional to 789,830 and 1,705,515 is: 3,682,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,830 : 1,705,515 = 1,705,515 : x
  2. Step 2: Convert to fraction form
    789,830/1,705,515 = 1,705,515/x
  3. Step 3: Cross multiply
    789,830x = 1,705,515 × 1,705,515
  4. Step 4: Simplify right side
    789,830x = 2,908,781,415,225
  5. Step 5: Solve for x
    x = 2,908,781,415,225/789,830
  6. Step 6: Final answer
    x = 3,682,794.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.