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Finding the Third Proportional to 8,431,400 and 18,141,578

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Solution

The third proportional to 8,431,400 and 18,141,578 is: 39,034,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431,400 : 18,141,578 = 18,141,578 : x
  2. Step 2: Convert to fraction form
    8,431,400/18,141,578 = 18,141,578/x
  3. Step 3: Cross multiply
    8,431,400x = 18,141,578 × 18,141,578
  4. Step 4: Simplify right side
    8,431,400x = 329,116,852,330,084
  5. Step 5: Solve for x
    x = 329,116,852,330,084/8,431,400
  6. Step 6: Final answer
    x = 39,034,662.37

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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.