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Finding the Third Proportional to 647,280,375.75 and 1,397,986,624.13

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Solution

The third proportional to 647,280,375.75 and 1,397,986,624.13 is: 3,019,350,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,280,375.75 : 1,397,986,624.13 = 1,397,986,624.13 : x
  2. Step 2: Convert to fraction form
    647,280,375.75/1,397,986,624.13 = 1,397,986,624.13/x
  3. Step 3: Cross multiply
    647,280,375.75x = 1,397,986,624.13 × 1,397,986,624.13
  4. Step 4: Simplify right side
    647,280,375.75x = 1,954,366,601,232,413,952
  5. Step 5: Solve for x
    x = 1,954,366,601,232,413,952/647,280,375.75
  6. Step 6: Final answer
    x = 3,019,350,924.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.