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Finding the Third Proportional to 291,662 and 476,256

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Solution

The third proportional to 291,662 and 476,256 is: 777,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,662 : 476,256 = 476,256 : x
  2. Step 2: Convert to fraction form
    291,662/476,256 = 476,256/x
  3. Step 3: Cross multiply
    291,662x = 476,256 × 476,256
  4. Step 4: Simplify right side
    291,662x = 226,819,777,536
  5. Step 5: Solve for x
    x = 226,819,777,536/291,662
  6. Step 6: Final answer
    x = 777,680.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.