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Finding the Third Proportional to 213,419,640 and 459,195,216

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Solution

The third proportional to 213,419,640 and 459,195,216 is: 988,007,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,419,640 : 459,195,216 = 459,195,216 : x
  2. Step 2: Convert to fraction form
    213,419,640/459,195,216 = 459,195,216/x
  3. Step 3: Cross multiply
    213,419,640x = 459,195,216 × 459,195,216
  4. Step 4: Simplify right side
    213,419,640x = 210,860,246,397,286,656
  5. Step 5: Solve for x
    x = 210,860,246,397,286,656/213,419,640
  6. Step 6: Final answer
    x = 988,007,694.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.