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Finding the Third Proportional to 294,576 and 640,704

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Solution

The third proportional to 294,576 and 640,704 is: 1,393,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,576 : 640,704 = 640,704 : x
  2. Step 2: Convert to fraction form
    294,576/640,704 = 640,704/x
  3. Step 3: Cross multiply
    294,576x = 640,704 × 640,704
  4. Step 4: Simplify right side
    294,576x = 410,501,615,616
  5. Step 5: Solve for x
    x = 410,501,615,616/294,576
  6. Step 6: Final answer
    x = 1,393,533.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.