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Finding the Third Proportional to 3,728,072 and 8,153,928

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Solution

The third proportional to 3,728,072 and 8,153,928 is: 17,834,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,072 : 8,153,928 = 8,153,928 : x
  2. Step 2: Convert to fraction form
    3,728,072/8,153,928 = 8,153,928/x
  3. Step 3: Cross multiply
    3,728,072x = 8,153,928 × 8,153,928
  4. Step 4: Simplify right side
    3,728,072x = 66,486,541,829,184
  5. Step 5: Solve for x
    x = 66,486,541,829,184/3,728,072
  6. Step 6: Final answer
    x = 17,834,028.37

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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.