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Finding the Third Proportional to 7,447,954 and 11,388,520

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Solution

The third proportional to 7,447,954 and 11,388,520 is: 17,413,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,954 : 11,388,520 = 11,388,520 : x
  2. Step 2: Convert to fraction form
    7,447,954/11,388,520 = 11,388,520/x
  3. Step 3: Cross multiply
    7,447,954x = 11,388,520 × 11,388,520
  4. Step 4: Simplify right side
    7,447,954x = 129,698,387,790,400
  5. Step 5: Solve for x
    x = 129,698,387,790,400/7,447,954
  6. Step 6: Final answer
    x = 17,413,961.98

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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.