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Finding the Third Proportional to 291,211 and 636,302

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Solution

The third proportional to 291,211 and 636,302 is: 1,390,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211 : 636,302 = 636,302 : x
  2. Step 2: Convert to fraction form
    291,211/636,302 = 636,302/x
  3. Step 3: Cross multiply
    291,211x = 636,302 × 636,302
  4. Step 4: Simplify right side
    291,211x = 404,880,235,204
  5. Step 5: Solve for x
    x = 404,880,235,204/291,211
  6. Step 6: Final answer
    x = 1,390,332.90

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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.