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Finding the Third Proportional to 330,273 and 459,553.50

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Solution

The third proportional to 330,273 and 459,553.50 is: 639,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,273 : 459,553.50 = 459,553.50 : x
  2. Step 2: Convert to fraction form
    330,273/459,553.50 = 459,553.50/x
  3. Step 3: Cross multiply
    330,273x = 459,553.50 × 459,553.50
  4. Step 4: Simplify right side
    330,273x = 211,189,419,362.25
  5. Step 5: Solve for x
    x = 211,189,419,362.25/330,273
  6. Step 6: Final answer
    x = 639,438.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.