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Finding the Third Proportional to 132,678 and 184,801.50

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Solution

The third proportional to 132,678 and 184,801.50 is: 257,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678 : 184,801.50 = 184,801.50 : x
  2. Step 2: Convert to fraction form
    132,678/184,801.50 = 184,801.50/x
  3. Step 3: Cross multiply
    132,678x = 184,801.50 × 184,801.50
  4. Step 4: Simplify right side
    132,678x = 34,151,594,402.25
  5. Step 5: Solve for x
    x = 34,151,594,402.25/132,678
  6. Step 6: Final answer
    x = 257,402.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.