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Finding the Third Proportional to 291,198 and 636,282

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Solution

The third proportional to 291,198 and 636,282 is: 1,390,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,198 : 636,282 = 636,282 : x
  2. Step 2: Convert to fraction form
    291,198/636,282 = 636,282/x
  3. Step 3: Cross multiply
    291,198x = 636,282 × 636,282
  4. Step 4: Simplify right side
    291,198x = 404,854,783,524
  5. Step 5: Solve for x
    x = 404,854,783,524/291,198
  6. Step 6: Final answer
    x = 1,390,307.57

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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.