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Finding the Third Proportional to 307,984 and 640,160

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Solution

The third proportional to 307,984 and 640,160 is: 1,330,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,984 : 640,160 = 640,160 : x
  2. Step 2: Convert to fraction form
    307,984/640,160 = 640,160/x
  3. Step 3: Cross multiply
    307,984x = 640,160 × 640,160
  4. Step 4: Simplify right side
    307,984x = 409,804,825,600
  5. Step 5: Solve for x
    x = 409,804,825,600/307,984
  6. Step 6: Final answer
    x = 1,330,604.27

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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.