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Finding the Third Proportional to 74,037.50 and 108,279.50

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Solution

The third proportional to 74,037.50 and 108,279.50 is: 158,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,037.50 : 108,279.50 = 108,279.50 : x
  2. Step 2: Convert to fraction form
    74,037.50/108,279.50 = 108,279.50/x
  3. Step 3: Cross multiply
    74,037.50x = 108,279.50 × 108,279.50
  4. Step 4: Simplify right side
    74,037.50x = 11,724,450,120.25
  5. Step 5: Solve for x
    x = 11,724,450,120.25/74,037.50
  6. Step 6: Final answer
    x = 158,358.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.