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Finding the Third Proportional to 1,350,576 and 3,155,256

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Solution

The third proportional to 1,350,576 and 3,155,256 is: 7,371,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,576 : 3,155,256 = 3,155,256 : x
  2. Step 2: Convert to fraction form
    1,350,576/3,155,256 = 3,155,256/x
  3. Step 3: Cross multiply
    1,350,576x = 3,155,256 × 3,155,256
  4. Step 4: Simplify right side
    1,350,576x = 9,955,640,425,536
  5. Step 5: Solve for x
    x = 9,955,640,425,536/1,350,576
  6. Step 6: Final answer
    x = 7,371,403.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.