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Finding the Third Proportional to 312,422 and 646,997

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Solution

The third proportional to 312,422 and 646,997 is: 1,339,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422 : 646,997 = 646,997 : x
  2. Step 2: Convert to fraction form
    312,422/646,997 = 646,997/x
  3. Step 3: Cross multiply
    312,422x = 646,997 × 646,997
  4. Step 4: Simplify right side
    312,422x = 418,605,118,009
  5. Step 5: Solve for x
    x = 418,605,118,009/312,422
  6. Step 6: Final answer
    x = 1,339,870.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.