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Finding the Third Proportional to 205,824 and 310,914

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Solution

The third proportional to 205,824 and 310,914 is: 469,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,824 : 310,914 = 310,914 : x
  2. Step 2: Convert to fraction form
    205,824/310,914 = 310,914/x
  3. Step 3: Cross multiply
    205,824x = 310,914 × 310,914
  4. Step 4: Simplify right side
    205,824x = 96,667,515,396
  5. Step 5: Solve for x
    x = 96,667,515,396/205,824
  6. Step 6: Final answer
    x = 469,661.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.