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Finding the Third Proportional to 3,121,678 and 6,809,128

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Solution

The third proportional to 3,121,678 and 6,809,128 is: 14,852,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121,678 : 6,809,128 = 6,809,128 : x
  2. Step 2: Convert to fraction form
    3,121,678/6,809,128 = 6,809,128/x
  3. Step 3: Cross multiply
    3,121,678x = 6,809,128 × 6,809,128
  4. Step 4: Simplify right side
    3,121,678x = 46,364,224,120,384
  5. Step 5: Solve for x
    x = 46,364,224,120,384/3,121,678
  6. Step 6: Final answer
    x = 14,852,340.35

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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.