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Finding the Third Proportional to 299,185 and 640,406

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Solution

The third proportional to 299,185 and 640,406 is: 1,370,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,185 : 640,406 = 640,406 : x
  2. Step 2: Convert to fraction form
    299,185/640,406 = 640,406/x
  3. Step 3: Cross multiply
    299,185x = 640,406 × 640,406
  4. Step 4: Simplify right side
    299,185x = 410,119,844,836
  5. Step 5: Solve for x
    x = 410,119,844,836/299,185
  6. Step 6: Final answer
    x = 1,370,790.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.