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Finding the Third Proportional to 401,968 and 621,844

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Solution

The third proportional to 401,968 and 621,844 is: 961,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,968 : 621,844 = 621,844 : x
  2. Step 2: Convert to fraction form
    401,968/621,844 = 621,844/x
  3. Step 3: Cross multiply
    401,968x = 621,844 × 621,844
  4. Step 4: Simplify right side
    401,968x = 386,689,960,336
  5. Step 5: Solve for x
    x = 386,689,960,336/401,968
  6. Step 6: Final answer
    x = 961,991.90

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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.