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Finding the Third Proportional to 205,712 and 272,956.50

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Solution

The third proportional to 205,712 and 272,956.50 is: 362,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712 : 272,956.50 = 272,956.50 : x
  2. Step 2: Convert to fraction form
    205,712/272,956.50 = 272,956.50/x
  3. Step 3: Cross multiply
    205,712x = 272,956.50 × 272,956.50
  4. Step 4: Simplify right side
    205,712x = 74,505,250,892.25
  5. Step 5: Solve for x
    x = 74,505,250,892.25/205,712
  6. Step 6: Final answer
    x = 362,182.33

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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.