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Finding the Third Proportional to 351,162 and 828,630

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Solution

The third proportional to 351,162 and 828,630 is: 1,955,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,162 : 828,630 = 828,630 : x
  2. Step 2: Convert to fraction form
    351,162/828,630 = 828,630/x
  3. Step 3: Cross multiply
    351,162x = 828,630 × 828,630
  4. Step 4: Simplify right side
    351,162x = 686,627,676,900
  5. Step 5: Solve for x
    x = 686,627,676,900/351,162
  6. Step 6: Final answer
    x = 1,955,301.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.