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Finding the Third Proportional to 291,708 and 637,404

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Solution

The third proportional to 291,708 and 637,404 is: 1,392,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,708 : 637,404 = 637,404 : x
  2. Step 2: Convert to fraction form
    291,708/637,404 = 637,404/x
  3. Step 3: Cross multiply
    291,708x = 637,404 × 637,404
  4. Step 4: Simplify right side
    291,708x = 406,283,859,216
  5. Step 5: Solve for x
    x = 406,283,859,216/291,708
  6. Step 6: Final answer
    x = 1,392,775.86

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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.