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Finding the Third Proportional to 2,143,387 and 4,623,311

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Solution

The third proportional to 2,143,387 and 4,623,311 is: 9,972,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,387 : 4,623,311 = 4,623,311 : x
  2. Step 2: Convert to fraction form
    2,143,387/4,623,311 = 4,623,311/x
  3. Step 3: Cross multiply
    2,143,387x = 4,623,311 × 4,623,311
  4. Step 4: Simplify right side
    2,143,387x = 21,375,004,602,721
  5. Step 5: Solve for x
    x = 21,375,004,602,721/2,143,387
  6. Step 6: Final answer
    x = 9,972,536.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.