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Finding the Third Proportional to 12,983,112 and 20,209,532

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Solution

The third proportional to 12,983,112 and 20,209,532 is: 31,458,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983,112 : 20,209,532 = 20,209,532 : x
  2. Step 2: Convert to fraction form
    12,983,112/20,209,532 = 20,209,532/x
  3. Step 3: Cross multiply
    12,983,112x = 20,209,532 × 20,209,532
  4. Step 4: Simplify right side
    12,983,112x = 408,425,183,659,024
  5. Step 5: Solve for x
    x = 408,425,183,659,024/12,983,112
  6. Step 6: Final answer
    x = 31,458,188.43

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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.