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Finding the Third Proportional to 81,877.50 and 120,537.75

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Solution

The third proportional to 81,877.50 and 120,537.75 is: 177,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.50 : 120,537.75 = 120,537.75 : x
  2. Step 2: Convert to fraction form
    81,877.50/120,537.75 = 120,537.75/x
  3. Step 3: Cross multiply
    81,877.50x = 120,537.75 × 120,537.75
  4. Step 4: Simplify right side
    81,877.50x = 14,529,349,175.06
  5. Step 5: Solve for x
    x = 14,529,349,175.06/81,877.50
  6. Step 6: Final answer
    x = 177,452.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.