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Finding the Third Proportional to 21,078,378 and 47,003,337

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Solution

The third proportional to 21,078,378 and 47,003,337 is: 104,814,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078,378 : 47,003,337 = 47,003,337 : x
  2. Step 2: Convert to fraction form
    21,078,378/47,003,337 = 47,003,337/x
  3. Step 3: Cross multiply
    21,078,378x = 47,003,337 × 47,003,337
  4. Step 4: Simplify right side
    21,078,378x = 2,209,313,689,135,569
  5. Step 5: Solve for x
    x = 2,209,313,689,135,569/21,078,378
  6. Step 6: Final answer
    x = 104,814,217.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.