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Finding the Third Proportional to 369,603 and 777,843

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Solution

The third proportional to 369,603 and 777,843 is: 1,636,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,603 : 777,843 = 777,843 : x
  2. Step 2: Convert to fraction form
    369,603/777,843 = 777,843/x
  3. Step 3: Cross multiply
    369,603x = 777,843 × 777,843
  4. Step 4: Simplify right side
    369,603x = 605,039,732,649
  5. Step 5: Solve for x
    x = 605,039,732,649/369,603
  6. Step 6: Final answer
    x = 1,636,998.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.