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Finding the Third Proportional to 159,898.50 and 219,678.75

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Solution

The third proportional to 159,898.50 and 219,678.75 is: 301,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,898.50 : 219,678.75 = 219,678.75 : x
  2. Step 2: Convert to fraction form
    159,898.50/219,678.75 = 219,678.75/x
  3. Step 3: Cross multiply
    159,898.50x = 219,678.75 × 219,678.75
  4. Step 4: Simplify right side
    159,898.50x = 48,258,753,201.56
  5. Step 5: Solve for x
    x = 48,258,753,201.56/159,898.50
  6. Step 6: Final answer
    x = 301,808.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.