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Finding the Third Proportional to 401,673 and 622,347.75

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Solution

The third proportional to 401,673 and 622,347.75 is: 964,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,673 : 622,347.75 = 622,347.75 : x
  2. Step 2: Convert to fraction form
    401,673/622,347.75 = 622,347.75/x
  3. Step 3: Cross multiply
    401,673x = 622,347.75 × 622,347.75
  4. Step 4: Simplify right side
    401,673x = 387,316,721,930.06
  5. Step 5: Solve for x
    x = 387,316,721,930.06/401,673
  6. Step 6: Final answer
    x = 964,258.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.