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Finding the Third Proportional to 291,868 and 639,095

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Solution

The third proportional to 291,868 and 639,095 is: 1,399,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,868 : 639,095 = 639,095 : x
  2. Step 2: Convert to fraction form
    291,868/639,095 = 639,095/x
  3. Step 3: Cross multiply
    291,868x = 639,095 × 639,095
  4. Step 4: Simplify right side
    291,868x = 408,442,419,025
  5. Step 5: Solve for x
    x = 408,442,419,025/291,868
  6. Step 6: Final answer
    x = 1,399,408.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.