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Finding the Third Proportional to 640,747 and 1,409,393

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Solution

The third proportional to 640,747 and 1,409,393 is: 3,100,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,747 : 1,409,393 = 1,409,393 : x
  2. Step 2: Convert to fraction form
    640,747/1,409,393 = 1,409,393/x
  3. Step 3: Cross multiply
    640,747x = 1,409,393 × 1,409,393
  4. Step 4: Simplify right side
    640,747x = 1,986,388,628,449
  5. Step 5: Solve for x
    x = 1,986,388,628,449/640,747
  6. Step 6: Final answer
    x = 3,100,113.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.