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Finding the Third Proportional to 12,782,938 and 17,276,199

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Solution

The third proportional to 12,782,938 and 17,276,199 is: 23,348,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782,938 : 17,276,199 = 17,276,199 : x
  2. Step 2: Convert to fraction form
    12,782,938/17,276,199 = 17,276,199/x
  3. Step 3: Cross multiply
    12,782,938x = 17,276,199 × 17,276,199
  4. Step 4: Simplify right side
    12,782,938x = 298,467,051,887,601
  5. Step 5: Solve for x
    x = 298,467,051,887,601/12,782,938
  6. Step 6: Final answer
    x = 23,348,861.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.