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Finding the Third Proportional to 356,155 and 509,266

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Solution

The third proportional to 356,155 and 509,266 is: 728,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,155 : 509,266 = 509,266 : x
  2. Step 2: Convert to fraction form
    356,155/509,266 = 509,266/x
  3. Step 3: Cross multiply
    356,155x = 509,266 × 509,266
  4. Step 4: Simplify right side
    356,155x = 259,351,858,756
  5. Step 5: Solve for x
    x = 259,351,858,756/356,155
  6. Step 6: Final answer
    x = 728,199.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.