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Finding the Third Proportional to 307,928 and 640,040

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Solution

The third proportional to 307,928 and 640,040 is: 1,330,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,928 : 640,040 = 640,040 : x
  2. Step 2: Convert to fraction form
    307,928/640,040 = 640,040/x
  3. Step 3: Cross multiply
    307,928x = 640,040 × 640,040
  4. Step 4: Simplify right side
    307,928x = 409,651,201,600
  5. Step 5: Solve for x
    x = 409,651,201,600/307,928
  6. Step 6: Final answer
    x = 1,330,347.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.