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Finding the Third Proportional to 205,722 and 272,972

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Solution

The third proportional to 205,722 and 272,972 is: 362,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722 : 272,972 = 272,972 : x
  2. Step 2: Convert to fraction form
    205,722/272,972 = 272,972/x
  3. Step 3: Cross multiply
    205,722x = 272,972 × 272,972
  4. Step 4: Simplify right side
    205,722x = 74,513,712,784
  5. Step 5: Solve for x
    x = 74,513,712,784/205,722
  6. Step 6: Final answer
    x = 362,205.85

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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.