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Finding the Third Proportional to 643,843 and 1,387,326

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Solution

The third proportional to 643,843 and 1,387,326 is: 2,989,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,843 : 1,387,326 = 1,387,326 : x
  2. Step 2: Convert to fraction form
    643,843/1,387,326 = 1,387,326/x
  3. Step 3: Cross multiply
    643,843x = 1,387,326 × 1,387,326
  4. Step 4: Simplify right side
    643,843x = 1,924,673,430,276
  5. Step 5: Solve for x
    x = 1,924,673,430,276/643,843
  6. Step 6: Final answer
    x = 2,989,352.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.