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Finding the Third Proportional to 300,244 and 646,712

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Solution

The third proportional to 300,244 and 646,712 is: 1,392,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,244 : 646,712 = 646,712 : x
  2. Step 2: Convert to fraction form
    300,244/646,712 = 646,712/x
  3. Step 3: Cross multiply
    300,244x = 646,712 × 646,712
  4. Step 4: Simplify right side
    300,244x = 418,236,410,944
  5. Step 5: Solve for x
    x = 418,236,410,944/300,244
  6. Step 6: Final answer
    x = 1,392,988.41

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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.