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Finding the Third Proportional to 108,400.78 and 154,084.78

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Solution

The third proportional to 108,400.78 and 154,084.78 is: 219,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,400.78 : 154,084.78 = 154,084.78 : x
  2. Step 2: Convert to fraction form
    108,400.78/154,084.78 = 154,084.78/x
  3. Step 3: Cross multiply
    108,400.78x = 154,084.78 × 154,084.78
  4. Step 4: Simplify right side
    108,400.78x = 23,742,119,812.86
  5. Step 5: Solve for x
    x = 23,742,119,812.86/108,400.78
  6. Step 6: Final answer
    x = 219,021.67

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.