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Finding the Third Proportional to 358,273 and 782,042

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Solution

The third proportional to 358,273 and 782,042 is: 1,707,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,273 : 782,042 = 782,042 : x
  2. Step 2: Convert to fraction form
    358,273/782,042 = 782,042/x
  3. Step 3: Cross multiply
    358,273x = 782,042 × 782,042
  4. Step 4: Simplify right side
    358,273x = 611,589,689,764
  5. Step 5: Solve for x
    x = 611,589,689,764/358,273
  6. Step 6: Final answer
    x = 1,707,049.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.