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Finding the Third Proportional to 361,097 and 782,458

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Solution

The third proportional to 361,097 and 782,458 is: 1,695,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,097 : 782,458 = 782,458 : x
  2. Step 2: Convert to fraction form
    361,097/782,458 = 782,458/x
  3. Step 3: Cross multiply
    361,097x = 782,458 × 782,458
  4. Step 4: Simplify right side
    361,097x = 612,240,521,764
  5. Step 5: Solve for x
    x = 612,240,521,764/361,097
  6. Step 6: Final answer
    x = 1,695,501.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.