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Finding the Third Proportional to 643,867 and 1,387,368

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Solution

The third proportional to 643,867 and 1,387,368 is: 2,989,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,867 : 1,387,368 = 1,387,368 : x
  2. Step 2: Convert to fraction form
    643,867/1,387,368 = 1,387,368/x
  3. Step 3: Cross multiply
    643,867x = 1,387,368 × 1,387,368
  4. Step 4: Simplify right side
    643,867x = 1,924,789,967,424
  5. Step 5: Solve for x
    x = 1,924,789,967,424/643,867
  6. Step 6: Final answer
    x = 2,989,421.68

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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.