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Finding the Third Proportional to 385,479 and 828,366.75

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Solution

The third proportional to 385,479 and 828,366.75 is: 1,780,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,479 : 828,366.75 = 828,366.75 : x
  2. Step 2: Convert to fraction form
    385,479/828,366.75 = 828,366.75/x
  3. Step 3: Cross multiply
    385,479x = 828,366.75 × 828,366.75
  4. Step 4: Simplify right side
    385,479x = 686,191,472,505.56
  5. Step 5: Solve for x
    x = 686,191,472,505.56/385,479
  6. Step 6: Final answer
    x = 1,780,100.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.