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Finding the Third Proportional to 509,982 and 690,084.75

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Solution

The third proportional to 509,982 and 690,084.75 is: 933,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,982 : 690,084.75 = 690,084.75 : x
  2. Step 2: Convert to fraction form
    509,982/690,084.75 = 690,084.75/x
  3. Step 3: Cross multiply
    509,982x = 690,084.75 × 690,084.75
  4. Step 4: Simplify right side
    509,982x = 476,216,962,182.56
  5. Step 5: Solve for x
    x = 476,216,962,182.56/509,982
  6. Step 6: Final answer
    x = 933,791.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.