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Finding the Third Proportional to 205,711 and 272,955

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Solution

The third proportional to 205,711 and 272,955 is: 362,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,711 : 272,955 = 272,955 : x
  2. Step 2: Convert to fraction form
    205,711/272,955 = 272,955/x
  3. Step 3: Cross multiply
    205,711x = 272,955 × 272,955
  4. Step 4: Simplify right side
    205,711x = 74,504,432,025
  5. Step 5: Solve for x
    x = 74,504,432,025/205,711
  6. Step 6: Final answer
    x = 362,180.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.