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Finding the Third Proportional to 2,129,553 and 4,618,415

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Solution

The third proportional to 2,129,553 and 4,618,415 is: 10,016,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,553 : 4,618,415 = 4,618,415 : x
  2. Step 2: Convert to fraction form
    2,129,553/4,618,415 = 4,618,415/x
  3. Step 3: Cross multiply
    2,129,553x = 4,618,415 × 4,618,415
  4. Step 4: Simplify right side
    2,129,553x = 21,329,757,112,225
  5. Step 5: Solve for x
    x = 21,329,757,112,225/2,129,553
  6. Step 6: Final answer
    x = 10,016,072.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.