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Finding the Third Proportional to 8,972,346 and 13,455,225

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Solution

The third proportional to 8,972,346 and 13,455,225 is: 20,177,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,346 : 13,455,225 = 13,455,225 : x
  2. Step 2: Convert to fraction form
    8,972,346/13,455,225 = 13,455,225/x
  3. Step 3: Cross multiply
    8,972,346x = 13,455,225 × 13,455,225
  4. Step 4: Simplify right side
    8,972,346x = 181,043,079,800,625
  5. Step 5: Solve for x
    x = 181,043,079,800,625/8,972,346
  6. Step 6: Final answer
    x = 20,177,897.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.