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Finding the Third Proportional to 156,066.75 and 178,989.75

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Solution

The third proportional to 156,066.75 and 178,989.75 is: 205,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,066.75 : 178,989.75 = 178,989.75 : x
  2. Step 2: Convert to fraction form
    156,066.75/178,989.75 = 178,989.75/x
  3. Step 3: Cross multiply
    156,066.75x = 178,989.75 × 178,989.75
  4. Step 4: Simplify right side
    156,066.75x = 32,037,330,605.06
  5. Step 5: Solve for x
    x = 32,037,330,605.06/156,066.75
  6. Step 6: Final answer
    x = 205,279.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.