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Finding the Third Proportional to 3,863,729 and 8,391,172

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Solution

The third proportional to 3,863,729 and 8,391,172 is: 18,223,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,729 : 8,391,172 = 8,391,172 : x
  2. Step 2: Convert to fraction form
    3,863,729/8,391,172 = 8,391,172/x
  3. Step 3: Cross multiply
    3,863,729x = 8,391,172 × 8,391,172
  4. Step 4: Simplify right side
    3,863,729x = 70,411,767,533,584
  5. Step 5: Solve for x
    x = 70,411,767,533,584/3,863,729
  6. Step 6: Final answer
    x = 18,223,785.24

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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.