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Finding the Third Proportional to 291,872 and 629,312

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Solution

The third proportional to 291,872 and 629,312 is: 1,356,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,872 : 629,312 = 629,312 : x
  2. Step 2: Convert to fraction form
    291,872/629,312 = 629,312/x
  3. Step 3: Cross multiply
    291,872x = 629,312 × 629,312
  4. Step 4: Simplify right side
    291,872x = 396,033,593,344
  5. Step 5: Solve for x
    x = 396,033,593,344/291,872
  6. Step 6: Final answer
    x = 1,356,874.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.