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Finding the Third Proportional to 776,622 and 1,661,220

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Solution

The third proportional to 776,622 and 1,661,220 is: 3,553,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,622 : 1,661,220 = 1,661,220 : x
  2. Step 2: Convert to fraction form
    776,622/1,661,220 = 1,661,220/x
  3. Step 3: Cross multiply
    776,622x = 1,661,220 × 1,661,220
  4. Step 4: Simplify right side
    776,622x = 2,759,651,888,400
  5. Step 5: Solve for x
    x = 2,759,651,888,400/776,622
  6. Step 6: Final answer
    x = 3,553,404.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.