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Finding the Third Proportional to 368,557 and 803,816

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Solution

The third proportional to 368,557 and 803,816 is: 1,753,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,557 : 803,816 = 803,816 : x
  2. Step 2: Convert to fraction form
    368,557/803,816 = 803,816/x
  3. Step 3: Cross multiply
    368,557x = 803,816 × 803,816
  4. Step 4: Simplify right side
    368,557x = 646,120,161,856
  5. Step 5: Solve for x
    x = 646,120,161,856/368,557
  6. Step 6: Final answer
    x = 1,753,107.83

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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.