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Finding the Third Proportional to 205,172 and 310,504

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Solution

The third proportional to 205,172 and 310,504 is: 469,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172 : 310,504 = 310,504 : x
  2. Step 2: Convert to fraction form
    205,172/310,504 = 310,504/x
  3. Step 3: Cross multiply
    205,172x = 310,504 × 310,504
  4. Step 4: Simplify right side
    205,172x = 96,412,734,016
  5. Step 5: Solve for x
    x = 96,412,734,016/205,172
  6. Step 6: Final answer
    x = 469,911.75

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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.