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Finding the Third Proportional to 235,233 and 509,345

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Solution

The third proportional to 235,233 and 509,345 is: 1,102,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,233 : 509,345 = 509,345 : x
  2. Step 2: Convert to fraction form
    235,233/509,345 = 509,345/x
  3. Step 3: Cross multiply
    235,233x = 509,345 × 509,345
  4. Step 4: Simplify right side
    235,233x = 259,432,329,025
  5. Step 5: Solve for x
    x = 259,432,329,025/235,233
  6. Step 6: Final answer
    x = 1,102,873.87

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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.