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Finding the Third Proportional to 291,204 and 636,294

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Solution

The third proportional to 291,204 and 636,294 is: 1,390,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,204 : 636,294 = 636,294 : x
  2. Step 2: Convert to fraction form
    291,204/636,294 = 636,294/x
  3. Step 3: Cross multiply
    291,204x = 636,294 × 636,294
  4. Step 4: Simplify right side
    291,204x = 404,870,054,436
  5. Step 5: Solve for x
    x = 404,870,054,436/291,204
  6. Step 6: Final answer
    x = 1,390,331.36

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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.