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Finding the Third Proportional to 101,076.50 and 119,529.50

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Solution

The third proportional to 101,076.50 and 119,529.50 is: 141,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,076.50 : 119,529.50 = 119,529.50 : x
  2. Step 2: Convert to fraction form
    101,076.50/119,529.50 = 119,529.50/x
  3. Step 3: Cross multiply
    101,076.50x = 119,529.50 × 119,529.50
  4. Step 4: Simplify right side
    101,076.50x = 14,287,301,370.25
  5. Step 5: Solve for x
    x = 14,287,301,370.25/101,076.50
  6. Step 6: Final answer
    x = 141,351.37

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.