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Finding the Third Proportional to 219,262.50 and 328,011.75

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Solution

The third proportional to 219,262.50 and 328,011.75 is: 490,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,262.50 : 328,011.75 = 328,011.75 : x
  2. Step 2: Convert to fraction form
    219,262.50/328,011.75 = 328,011.75/x
  3. Step 3: Cross multiply
    219,262.50x = 328,011.75 × 328,011.75
  4. Step 4: Simplify right side
    219,262.50x = 107,591,708,138.06
  5. Step 5: Solve for x
    x = 107,591,708,138.06/219,262.50
  6. Step 6: Final answer
    x = 490,698.17

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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.