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Finding the Third Proportional to 330,378 and 502,486.50

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Solution

The third proportional to 330,378 and 502,486.50 is: 764,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,378 : 502,486.50 = 502,486.50 : x
  2. Step 2: Convert to fraction form
    330,378/502,486.50 = 502,486.50/x
  3. Step 3: Cross multiply
    330,378x = 502,486.50 × 502,486.50
  4. Step 4: Simplify right side
    330,378x = 252,492,682,682.25
  5. Step 5: Solve for x
    x = 252,492,682,682.25/330,378
  6. Step 6: Final answer
    x = 764,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.