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Finding the Third Proportional to 335,938 and 509,239

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Solution

The third proportional to 335,938 and 509,239 is: 771,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,938 : 509,239 = 509,239 : x
  2. Step 2: Convert to fraction form
    335,938/509,239 = 509,239/x
  3. Step 3: Cross multiply
    335,938x = 509,239 × 509,239
  4. Step 4: Simplify right side
    335,938x = 259,324,359,121
  5. Step 5: Solve for x
    x = 259,324,359,121/335,938
  6. Step 6: Final answer
    x = 771,941.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.