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Finding the Third Proportional to 363,178,530 and 509,611,449

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Solution

The third proportional to 363,178,530 and 509,611,449 is: 715,085,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,178,530 : 509,611,449 = 509,611,449 : x
  2. Step 2: Convert to fraction form
    363,178,530/509,611,449 = 509,611,449/x
  3. Step 3: Cross multiply
    363,178,530x = 509,611,449 × 509,611,449
  4. Step 4: Simplify right side
    363,178,530x = 259,703,828,951,879,616
  5. Step 5: Solve for x
    x = 259,703,828,951,879,616/363,178,530
  6. Step 6: Final answer
    x = 715,085,853.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.