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Finding the Third Proportional to 12,768,247 and 17,916,378

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Solution

The third proportional to 12,768,247 and 17,916,378 is: 25,140,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768,247 : 17,916,378 = 17,916,378 : x
  2. Step 2: Convert to fraction form
    12,768,247/17,916,378 = 17,916,378/x
  3. Step 3: Cross multiply
    12,768,247x = 17,916,378 × 17,916,378
  4. Step 4: Simplify right side
    12,768,247x = 320,996,600,638,884
  5. Step 5: Solve for x
    x = 320,996,600,638,884/12,768,247
  6. Step 6: Final answer
    x = 25,140,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.