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Finding the Third Proportional to 219,208.50 and 328,812.50

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Solution

The third proportional to 219,208.50 and 328,812.50 is: 493,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,208.50 : 328,812.50 = 328,812.50 : x
  2. Step 2: Convert to fraction form
    219,208.50/328,812.50 = 328,812.50/x
  3. Step 3: Cross multiply
    219,208.50x = 328,812.50 × 328,812.50
  4. Step 4: Simplify right side
    219,208.50x = 108,117,660,156.25
  5. Step 5: Solve for x
    x = 108,117,660,156.25/219,208.50
  6. Step 6: Final answer
    x = 493,218.38

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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.