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Finding the Third Proportional to 9,431,942 and 20,208,479.50

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Solution

The third proportional to 9,431,942 and 20,208,479.50 is: 43,297,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431,942 : 20,208,479.50 = 20,208,479.50 : x
  2. Step 2: Convert to fraction form
    9,431,942/20,208,479.50 = 20,208,479.50/x
  3. Step 3: Cross multiply
    9,431,942x = 20,208,479.50 × 20,208,479.50
  4. Step 4: Simplify right side
    9,431,942x = 408,382,643,701,920.25
  5. Step 5: Solve for x
    x = 408,382,643,701,920.25/9,431,942
  6. Step 6: Final answer
    x = 43,297,832.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.