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Finding the Third Proportional to 236,486 and 513,796

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Solution

The third proportional to 236,486 and 513,796 is: 1,116,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,486 : 513,796 = 513,796 : x
  2. Step 2: Convert to fraction form
    236,486/513,796 = 513,796/x
  3. Step 3: Cross multiply
    236,486x = 513,796 × 513,796
  4. Step 4: Simplify right side
    236,486x = 263,986,329,616
  5. Step 5: Solve for x
    x = 263,986,329,616/236,486
  6. Step 6: Final answer
    x = 1,116,287.35

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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.