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Finding the Third Proportional to 204,124.50 and 437,760

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Solution

The third proportional to 204,124.50 and 437,760 is: 938,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,124.50 : 437,760 = 437,760 : x
  2. Step 2: Convert to fraction form
    204,124.50/437,760 = 437,760/x
  3. Step 3: Cross multiply
    204,124.50x = 437,760 × 437,760
  4. Step 4: Simplify right side
    204,124.50x = 191,633,817,600
  5. Step 5: Solve for x
    x = 191,633,817,600/204,124.50
  6. Step 6: Final answer
    x = 938,808.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.