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Finding the Third Proportional to 1,438,343 and 3,100,852

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Solution

The third proportional to 1,438,343 and 3,100,852 is: 6,684,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,343 : 3,100,852 = 3,100,852 : x
  2. Step 2: Convert to fraction form
    1,438,343/3,100,852 = 3,100,852/x
  3. Step 3: Cross multiply
    1,438,343x = 3,100,852 × 3,100,852
  4. Step 4: Simplify right side
    1,438,343x = 9,615,283,125,904
  5. Step 5: Solve for x
    x = 9,615,283,125,904/1,438,343
  6. Step 6: Final answer
    x = 6,684,972.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.