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Finding the Third Proportional to 291,243 and 636,366

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Solution

The third proportional to 291,243 and 636,366 is: 1,390,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,243 : 636,366 = 636,366 : x
  2. Step 2: Convert to fraction form
    291,243/636,366 = 636,366/x
  3. Step 3: Cross multiply
    291,243x = 636,366 × 636,366
  4. Step 4: Simplify right side
    291,243x = 404,961,685,956
  5. Step 5: Solve for x
    x = 404,961,685,956/291,243
  6. Step 6: Final answer
    x = 1,390,459.81

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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.