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Finding the Third Proportional to 219,207.50 and 328,811

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Solution

The third proportional to 219,207.50 and 328,811 is: 493,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,207.50 : 328,811 = 328,811 : x
  2. Step 2: Convert to fraction form
    219,207.50/328,811 = 328,811/x
  3. Step 3: Cross multiply
    219,207.50x = 328,811 × 328,811
  4. Step 4: Simplify right side
    219,207.50x = 108,116,673,721
  5. Step 5: Solve for x
    x = 108,116,673,721/219,207.50
  6. Step 6: Final answer
    x = 493,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.