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Finding the Third Proportional to 205,714 and 272,960

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Solution

The third proportional to 205,714 and 272,960 is: 362,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714 : 272,960 = 272,960 : x
  2. Step 2: Convert to fraction form
    205,714/272,960 = 272,960/x
  3. Step 3: Cross multiply
    205,714x = 272,960 × 272,960
  4. Step 4: Simplify right side
    205,714x = 74,507,161,600
  5. Step 5: Solve for x
    x = 74,507,161,600/205,714
  6. Step 6: Final answer
    x = 362,188.09

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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.