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Finding the Third Proportional to 310,491 and 640,803

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Solution

The third proportional to 310,491 and 640,803 is: 1,322,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,491 : 640,803 = 640,803 : x
  2. Step 2: Convert to fraction form
    310,491/640,803 = 640,803/x
  3. Step 3: Cross multiply
    310,491x = 640,803 × 640,803
  4. Step 4: Simplify right side
    310,491x = 410,628,484,809
  5. Step 5: Solve for x
    x = 410,628,484,809/310,491
  6. Step 6: Final answer
    x = 1,322,513.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.