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Finding the Third Proportional to 355,868 and 777,398

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Solution

The third proportional to 355,868 and 777,398 is: 1,698,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,868 : 777,398 = 777,398 : x
  2. Step 2: Convert to fraction form
    355,868/777,398 = 777,398/x
  3. Step 3: Cross multiply
    355,868x = 777,398 × 777,398
  4. Step 4: Simplify right side
    355,868x = 604,347,650,404
  5. Step 5: Solve for x
    x = 604,347,650,404/355,868
  6. Step 6: Final answer
    x = 1,698,235.44

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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.