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Finding the Third Proportional to 205,841 and 321,210

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Solution

The third proportional to 205,841 and 321,210 is: 501,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,841 : 321,210 = 321,210 : x
  2. Step 2: Convert to fraction form
    205,841/321,210 = 321,210/x
  3. Step 3: Cross multiply
    205,841x = 321,210 × 321,210
  4. Step 4: Simplify right side
    205,841x = 103,175,864,100
  5. Step 5: Solve for x
    x = 103,175,864,100/205,841
  6. Step 6: Final answer
    x = 501,240.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.