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Finding the Third Proportional to 339,435 and 718,236

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Solution

The third proportional to 339,435 and 718,236 is: 1,519,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,435 : 718,236 = 718,236 : x
  2. Step 2: Convert to fraction form
    339,435/718,236 = 718,236/x
  3. Step 3: Cross multiply
    339,435x = 718,236 × 718,236
  4. Step 4: Simplify right side
    339,435x = 515,862,951,696
  5. Step 5: Solve for x
    x = 515,862,951,696/339,435
  6. Step 6: Final answer
    x = 1,519,769.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.