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Finding the Third Proportional to 13,930,993.50 and 21,106,820.25

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Solution

The third proportional to 13,930,993.50 and 21,106,820.25 is: 31,978,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930,993.50 : 21,106,820.25 = 21,106,820.25 : x
  2. Step 2: Convert to fraction form
    13,930,993.50/21,106,820.25 = 21,106,820.25/x
  3. Step 3: Cross multiply
    13,930,993.50x = 21,106,820.25 × 21,106,820.25
  4. Step 4: Simplify right side
    13,930,993.50x = 445,497,861,065,810.06
  5. Step 5: Solve for x
    x = 445,497,861,065,810.06/13,930,993.50
  6. Step 6: Final answer
    x = 31,978,900.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.