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Finding the Third Proportional to 354,477 and 777,839

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Solution

The third proportional to 354,477 and 777,839 is: 1,706,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,477 : 777,839 = 777,839 : x
  2. Step 2: Convert to fraction form
    354,477/777,839 = 777,839/x
  3. Step 3: Cross multiply
    354,477x = 777,839 × 777,839
  4. Step 4: Simplify right side
    354,477x = 605,033,509,921
  5. Step 5: Solve for x
    x = 605,033,509,921/354,477
  6. Step 6: Final answer
    x = 1,706,834.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.