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Finding the Third Proportional to 401,868 and 621,698

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Solution

The third proportional to 401,868 and 621,698 is: 961,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,868 : 621,698 = 621,698 : x
  2. Step 2: Convert to fraction form
    401,868/621,698 = 621,698/x
  3. Step 3: Cross multiply
    401,868x = 621,698 × 621,698
  4. Step 4: Simplify right side
    401,868x = 386,508,403,204
  5. Step 5: Solve for x
    x = 386,508,403,204/401,868
  6. Step 6: Final answer
    x = 961,779.50

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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.