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Finding the Third Proportional to 81,975 and 122,962.50

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Solution

The third proportional to 81,975 and 122,962.50 is: 184,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,975 : 122,962.50 = 122,962.50 : x
  2. Step 2: Convert to fraction form
    81,975/122,962.50 = 122,962.50/x
  3. Step 3: Cross multiply
    81,975x = 122,962.50 × 122,962.50
  4. Step 4: Simplify right side
    81,975x = 15,119,776,406.25
  5. Step 5: Solve for x
    x = 15,119,776,406.25/81,975
  6. Step 6: Final answer
    x = 184,443.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.