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Finding the Third Proportional to 8,415,072 and 18,431,968

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Solution

The third proportional to 8,415,072 and 18,431,968 is: 40,372,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,072 : 18,431,968 = 18,431,968 : x
  2. Step 2: Convert to fraction form
    8,415,072/18,431,968 = 18,431,968/x
  3. Step 3: Cross multiply
    8,415,072x = 18,431,968 × 18,431,968
  4. Step 4: Simplify right side
    8,415,072x = 339,737,444,353,024
  5. Step 5: Solve for x
    x = 339,737,444,353,024/8,415,072
  6. Step 6: Final answer
    x = 40,372,494.06

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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.