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Finding the Third Proportional to 111,559.50 and 156,039.75

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Solution

The third proportional to 111,559.50 and 156,039.75 is: 218,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,559.50 : 156,039.75 = 156,039.75 : x
  2. Step 2: Convert to fraction form
    111,559.50/156,039.75 = 156,039.75/x
  3. Step 3: Cross multiply
    111,559.50x = 156,039.75 × 156,039.75
  4. Step 4: Simplify right side
    111,559.50x = 24,348,403,580.06
  5. Step 5: Solve for x
    x = 24,348,403,580.06/111,559.50
  6. Step 6: Final answer
    x = 218,254.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.