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Finding the Third Proportional to 401,922 and 879,174

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Solution

The third proportional to 401,922 and 879,174 is: 1,923,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,922 : 879,174 = 879,174 : x
  2. Step 2: Convert to fraction form
    401,922/879,174 = 879,174/x
  3. Step 3: Cross multiply
    401,922x = 879,174 × 879,174
  4. Step 4: Simplify right side
    401,922x = 772,946,922,276
  5. Step 5: Solve for x
    x = 772,946,922,276/401,922
  6. Step 6: Final answer
    x = 1,923,126.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.