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Finding the Third Proportional to 407,510,367.19 and 635,479,318.69

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Solution

The third proportional to 407,510,367.19 and 635,479,318.69 is: 990,978,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,367.19 : 635,479,318.69 = 635,479,318.69 : x
  2. Step 2: Convert to fraction form
    407,510,367.19/635,479,318.69 = 635,479,318.69/x
  3. Step 3: Cross multiply
    407,510,367.19x = 635,479,318.69 × 635,479,318.69
  4. Step 4: Simplify right side
    407,510,367.19x = 403,833,964,479,529,216
  5. Step 5: Solve for x
    x = 403,833,964,479,529,216/407,510,367.19
  6. Step 6: Final answer
    x = 990,978,382.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.