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Finding the Third Proportional to 337,402 and 509,589

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Solution

The third proportional to 337,402 and 509,589 is: 769,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,402 : 509,589 = 509,589 : x
  2. Step 2: Convert to fraction form
    337,402/509,589 = 509,589/x
  3. Step 3: Cross multiply
    337,402x = 509,589 × 509,589
  4. Step 4: Simplify right side
    337,402x = 259,680,948,921
  5. Step 5: Solve for x
    x = 259,680,948,921/337,402
  6. Step 6: Final answer
    x = 769,648.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.