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Finding the Third Proportional to 350,172 and 768,422

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Solution

The third proportional to 350,172 and 768,422 is: 1,686,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,172 : 768,422 = 768,422 : x
  2. Step 2: Convert to fraction form
    350,172/768,422 = 768,422/x
  3. Step 3: Cross multiply
    350,172x = 768,422 × 768,422
  4. Step 4: Simplify right side
    350,172x = 590,472,370,084
  5. Step 5: Solve for x
    x = 590,472,370,084/350,172
  6. Step 6: Final answer
    x = 1,686,235.25

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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.