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Finding the Third Proportional to 341,406 and 516,825

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Solution

The third proportional to 341,406 and 516,825 is: 782,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,406 : 516,825 = 516,825 : x
  2. Step 2: Convert to fraction form
    341,406/516,825 = 516,825/x
  3. Step 3: Cross multiply
    341,406x = 516,825 × 516,825
  4. Step 4: Simplify right side
    341,406x = 267,108,080,625
  5. Step 5: Solve for x
    x = 267,108,080,625/341,406
  6. Step 6: Final answer
    x = 782,376.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.