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Finding the Third Proportional to 401,166 and 881,388

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Solution

The third proportional to 401,166 and 881,388 is: 1,936,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,166 : 881,388 = 881,388 : x
  2. Step 2: Convert to fraction form
    401,166/881,388 = 881,388/x
  3. Step 3: Cross multiply
    401,166x = 881,388 × 881,388
  4. Step 4: Simplify right side
    401,166x = 776,844,806,544
  5. Step 5: Solve for x
    x = 776,844,806,544/401,166
  6. Step 6: Final answer
    x = 1,936,467.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.