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Finding the Third Proportional to 205,719 and 272,967

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Solution

The third proportional to 205,719 and 272,967 is: 362,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,719 : 272,967 = 272,967 : x
  2. Step 2: Convert to fraction form
    205,719/272,967 = 272,967/x
  3. Step 3: Cross multiply
    205,719x = 272,967 × 272,967
  4. Step 4: Simplify right side
    205,719x = 74,510,983,089
  5. Step 5: Solve for x
    x = 74,510,983,089/205,719
  6. Step 6: Final answer
    x = 362,197.87

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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.