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Finding the Third Proportional to 7,447,969 and 11,388,542

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Solution

The third proportional to 7,447,969 and 11,388,542 is: 17,413,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,969 : 11,388,542 = 11,388,542 : x
  2. Step 2: Convert to fraction form
    7,447,969/11,388,542 = 11,388,542/x
  3. Step 3: Cross multiply
    7,447,969x = 11,388,542 × 11,388,542
  4. Step 4: Simplify right side
    7,447,969x = 129,698,888,885,764
  5. Step 5: Solve for x
    x = 129,698,888,885,764/7,447,969
  6. Step 6: Final answer
    x = 17,413,994.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.