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Finding the Third Proportional to 291,136 and 629,018

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Solution

The third proportional to 291,136 and 629,018 is: 1,359,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,136 : 629,018 = 629,018 : x
  2. Step 2: Convert to fraction form
    291,136/629,018 = 629,018/x
  3. Step 3: Cross multiply
    291,136x = 629,018 × 629,018
  4. Step 4: Simplify right side
    291,136x = 395,663,644,324
  5. Step 5: Solve for x
    x = 395,663,644,324/291,136
  6. Step 6: Final answer
    x = 1,359,033.73

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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.