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Finding the Third Proportional to 5,415,646 and 8,412,699

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Solution

The third proportional to 5,415,646 and 8,412,699 is: 13,068,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,646 : 8,412,699 = 8,412,699 : x
  2. Step 2: Convert to fraction form
    5,415,646/8,412,699 = 8,412,699/x
  3. Step 3: Cross multiply
    5,415,646x = 8,412,699 × 8,412,699
  4. Step 4: Simplify right side
    5,415,646x = 70,773,504,464,601
  5. Step 5: Solve for x
    x = 70,773,504,464,601/5,415,646
  6. Step 6: Final answer
    x = 13,068,340.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.