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Finding the Third Proportional to 291,204 and 633,688

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Solution

The third proportional to 291,204 and 633,688 is: 1,378,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,204 : 633,688 = 633,688 : x
  2. Step 2: Convert to fraction form
    291,204/633,688 = 633,688/x
  3. Step 3: Cross multiply
    291,204x = 633,688 × 633,688
  4. Step 4: Simplify right side
    291,204x = 401,560,481,344
  5. Step 5: Solve for x
    x = 401,560,481,344/291,204
  6. Step 6: Final answer
    x = 1,378,966.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.