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Finding the Third Proportional to 3,431,405 and 7,427,623

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Solution

The third proportional to 3,431,405 and 7,427,623 is: 16,077,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,405 : 7,427,623 = 7,427,623 : x
  2. Step 2: Convert to fraction form
    3,431,405/7,427,623 = 7,427,623/x
  3. Step 3: Cross multiply
    3,431,405x = 7,427,623 × 7,427,623
  4. Step 4: Simplify right side
    3,431,405x = 55,169,583,430,129
  5. Step 5: Solve for x
    x = 55,169,583,430,129/3,431,405
  6. Step 6: Final answer
    x = 16,077,840.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.