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Finding the Third Proportional to 291,235 and 636,349

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Solution

The third proportional to 291,235 and 636,349 is: 1,390,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,235 : 636,349 = 636,349 : x
  2. Step 2: Convert to fraction form
    291,235/636,349 = 636,349/x
  3. Step 3: Cross multiply
    291,235x = 636,349 × 636,349
  4. Step 4: Simplify right side
    291,235x = 404,940,049,801
  5. Step 5: Solve for x
    x = 404,940,049,801/291,235
  6. Step 6: Final answer
    x = 1,390,423.71

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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.