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Finding the Third Proportional to 395,061 and 867,017

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Solution

The third proportional to 395,061 and 867,017 is: 1,902,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,061 : 867,017 = 867,017 : x
  2. Step 2: Convert to fraction form
    395,061/867,017 = 867,017/x
  3. Step 3: Cross multiply
    395,061x = 867,017 × 867,017
  4. Step 4: Simplify right side
    395,061x = 751,718,478,289
  5. Step 5: Solve for x
    x = 751,718,478,289/395,061
  6. Step 6: Final answer
    x = 1,902,790.91

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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.