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Finding the Third Proportional to 8,408,836 and 18,445,496

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Solution

The third proportional to 8,408,836 and 18,445,496 is: 40,461,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408,836 : 18,445,496 = 18,445,496 : x
  2. Step 2: Convert to fraction form
    8,408,836/18,445,496 = 18,445,496/x
  3. Step 3: Cross multiply
    8,408,836x = 18,445,496 × 18,445,496
  4. Step 4: Simplify right side
    8,408,836x = 340,236,322,686,016
  5. Step 5: Solve for x
    x = 340,236,322,686,016/8,408,836
  6. Step 6: Final answer
    x = 40,461,762.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.