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Finding the Third Proportional to 355,371 and 767,643

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Solution

The third proportional to 355,371 and 767,643 is: 1,658,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,371 : 767,643 = 767,643 : x
  2. Step 2: Convert to fraction form
    355,371/767,643 = 767,643/x
  3. Step 3: Cross multiply
    355,371x = 767,643 × 767,643
  4. Step 4: Simplify right side
    355,371x = 589,275,775,449
  5. Step 5: Solve for x
    x = 589,275,775,449/355,371
  6. Step 6: Final answer
    x = 1,658,198.83

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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.