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Finding the Third Proportional to 355,138 and 768,596

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Solution

The third proportional to 355,138 and 768,596 is: 1,663,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,138 : 768,596 = 768,596 : x
  2. Step 2: Convert to fraction form
    355,138/768,596 = 768,596/x
  3. Step 3: Cross multiply
    355,138x = 768,596 × 768,596
  4. Step 4: Simplify right side
    355,138x = 590,739,811,216
  5. Step 5: Solve for x
    x = 590,739,811,216/355,138
  6. Step 6: Final answer
    x = 1,663,409.19

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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.