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Finding the Third Proportional to 292,104 and 636,816

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Solution

The third proportional to 292,104 and 636,816 is: 1,388,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,104 : 636,816 = 636,816 : x
  2. Step 2: Convert to fraction form
    292,104/636,816 = 636,816/x
  3. Step 3: Cross multiply
    292,104x = 636,816 × 636,816
  4. Step 4: Simplify right side
    292,104x = 405,534,617,856
  5. Step 5: Solve for x
    x = 405,534,617,856/292,104
  6. Step 6: Final answer
    x = 1,388,322.71

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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.