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Finding the Third Proportional to 401,886 and 621,720

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Solution

The third proportional to 401,886 and 621,720 is: 961,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,886 : 621,720 = 621,720 : x
  2. Step 2: Convert to fraction form
    401,886/621,720 = 621,720/x
  3. Step 3: Cross multiply
    401,886x = 621,720 × 621,720
  4. Step 4: Simplify right side
    401,886x = 386,535,758,400
  5. Step 5: Solve for x
    x = 386,535,758,400/401,886
  6. Step 6: Final answer
    x = 961,804.49

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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.