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Finding the Third Proportional to 640,197 and 1,400,922

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Solution

The third proportional to 640,197 and 1,400,922 is: 3,065,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,197 : 1,400,922 = 1,400,922 : x
  2. Step 2: Convert to fraction form
    640,197/1,400,922 = 1,400,922/x
  3. Step 3: Cross multiply
    640,197x = 1,400,922 × 1,400,922
  4. Step 4: Simplify right side
    640,197x = 1,962,582,450,084
  5. Step 5: Solve for x
    x = 1,962,582,450,084/640,197
  6. Step 6: Final answer
    x = 3,065,591.45

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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.