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Finding the Third Proportional to 509,238 and 769,047.75

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Solution

The third proportional to 509,238 and 769,047.75 is: 1,161,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,238 : 769,047.75 = 769,047.75 : x
  2. Step 2: Convert to fraction form
    509,238/769,047.75 = 769,047.75/x
  3. Step 3: Cross multiply
    509,238x = 769,047.75 × 769,047.75
  4. Step 4: Simplify right side
    509,238x = 591,434,441,780.06
  5. Step 5: Solve for x
    x = 591,434,441,780.06/509,238
  6. Step 6: Final answer
    x = 1,161,410.66

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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.