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Finding the Third Proportional to 13,450,914 and 18,874,289.25

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Solution

The third proportional to 13,450,914 and 18,874,289.25 is: 26,484,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,914 : 18,874,289.25 = 18,874,289.25 : x
  2. Step 2: Convert to fraction form
    13,450,914/18,874,289.25 = 18,874,289.25/x
  3. Step 3: Cross multiply
    13,450,914x = 18,874,289.25 × 18,874,289.25
  4. Step 4: Simplify right side
    13,450,914x = 356,238,794,692,665.56
  5. Step 5: Solve for x
    x = 356,238,794,692,665.56/13,450,914
  6. Step 6: Final answer
    x = 26,484,355.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.