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Finding the Third Proportional to 360,198 and 783,820

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Solution

The third proportional to 360,198 and 783,820 is: 1,705,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198 : 783,820 = 783,820 : x
  2. Step 2: Convert to fraction form
    360,198/783,820 = 783,820/x
  3. Step 3: Cross multiply
    360,198x = 783,820 × 783,820
  4. Step 4: Simplify right side
    360,198x = 614,373,792,400
  5. Step 5: Solve for x
    x = 614,373,792,400/360,198
  6. Step 6: Final answer
    x = 1,705,655.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.