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Finding the Third Proportional to 305,326 and 661,476

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Solution

The third proportional to 305,326 and 661,476 is: 1,433,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,326 : 661,476 = 661,476 : x
  2. Step 2: Convert to fraction form
    305,326/661,476 = 661,476/x
  3. Step 3: Cross multiply
    305,326x = 661,476 × 661,476
  4. Step 4: Simplify right side
    305,326x = 437,550,498,576
  5. Step 5: Solve for x
    x = 437,550,498,576/305,326
  6. Step 6: Final answer
    x = 1,433,060.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.