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Finding the Third Proportional to 235,800 and 509,130

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Solution

The third proportional to 235,800 and 509,130 is: 1,099,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,800 : 509,130 = 509,130 : x
  2. Step 2: Convert to fraction form
    235,800/509,130 = 509,130/x
  3. Step 3: Cross multiply
    235,800x = 509,130 × 509,130
  4. Step 4: Simplify right side
    235,800x = 259,213,356,900
  5. Step 5: Solve for x
    x = 259,213,356,900/235,800
  6. Step 6: Final answer
    x = 1,099,293.29

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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.