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Finding the Third Proportional to 236,311 and 509,726

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Solution

The third proportional to 236,311 and 509,726 is: 1,099,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,311 : 509,726 = 509,726 : x
  2. Step 2: Convert to fraction form
    236,311/509,726 = 509,726/x
  3. Step 3: Cross multiply
    236,311x = 509,726 × 509,726
  4. Step 4: Simplify right side
    236,311x = 259,820,595,076
  5. Step 5: Solve for x
    x = 259,820,595,076/236,311
  6. Step 6: Final answer
    x = 1,099,485.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.