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Finding the Third Proportional to 4,121,568 and 8,929,205

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Solution

The third proportional to 4,121,568 and 8,929,205 is: 19,344,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,568 : 8,929,205 = 8,929,205 : x
  2. Step 2: Convert to fraction form
    4,121,568/8,929,205 = 8,929,205/x
  3. Step 3: Cross multiply
    4,121,568x = 8,929,205 × 8,929,205
  4. Step 4: Simplify right side
    4,121,568x = 79,730,701,932,025
  5. Step 5: Solve for x
    x = 79,730,701,932,025/4,121,568
  6. Step 6: Final answer
    x = 19,344,749.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.