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Finding the Third Proportional to 419,278.50 and 645,231

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Solution

The third proportional to 419,278.50 and 645,231 is: 992,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,278.50 : 645,231 = 645,231 : x
  2. Step 2: Convert to fraction form
    419,278.50/645,231 = 645,231/x
  3. Step 3: Cross multiply
    419,278.50x = 645,231 × 645,231
  4. Step 4: Simplify right side
    419,278.50x = 416,323,043,361
  5. Step 5: Solve for x
    x = 416,323,043,361/419,278.50
  6. Step 6: Final answer
    x = 992,951.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.