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Finding the Third Proportional to 219,078 and 330,982.88

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Solution

The third proportional to 219,078 and 330,982.88 is: 500,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,078 : 330,982.88 = 330,982.88 : x
  2. Step 2: Convert to fraction form
    219,078/330,982.88 = 330,982.88/x
  3. Step 3: Cross multiply
    219,078x = 330,982.88 × 330,982.88
  4. Step 4: Simplify right side
    219,078x = 109,549,663,543.27
  5. Step 5: Solve for x
    x = 109,549,663,543.27/219,078
  6. Step 6: Final answer
    x = 500,048.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.