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Finding the Third Proportional to 3,872,463 and 8,416,578

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Solution

The third proportional to 3,872,463 and 8,416,578 is: 18,292,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872,463 : 8,416,578 = 8,416,578 : x
  2. Step 2: Convert to fraction form
    3,872,463/8,416,578 = 8,416,578/x
  3. Step 3: Cross multiply
    3,872,463x = 8,416,578 × 8,416,578
  4. Step 4: Simplify right side
    3,872,463x = 70,838,785,230,084
  5. Step 5: Solve for x
    x = 70,838,785,230,084/3,872,463
  6. Step 6: Final answer
    x = 18,292,953.41

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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.