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Finding the Third Proportional to 492,016 and 803,419

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Solution

The third proportional to 492,016 and 803,419 is: 1,311,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,016 : 803,419 = 803,419 : x
  2. Step 2: Convert to fraction form
    492,016/803,419 = 803,419/x
  3. Step 3: Cross multiply
    492,016x = 803,419 × 803,419
  4. Step 4: Simplify right side
    492,016x = 645,482,089,561
  5. Step 5: Solve for x
    x = 645,482,089,561/492,016
  6. Step 6: Final answer
    x = 1,311,912.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.