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Finding the Third Proportional to 12,984,324 and 20,262,570

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Solution

The third proportional to 12,984,324 and 20,262,570 is: 31,620,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984,324 : 20,262,570 = 20,262,570 : x
  2. Step 2: Convert to fraction form
    12,984,324/20,262,570 = 20,262,570/x
  3. Step 3: Cross multiply
    12,984,324x = 20,262,570 × 20,262,570
  4. Step 4: Simplify right side
    12,984,324x = 410,571,743,004,900
  5. Step 5: Solve for x
    x = 410,571,743,004,900/12,984,324
  6. Step 6: Final answer
    x = 31,620,571.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.