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Finding the Third Proportional to 437,229 and 643,338

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Solution

The third proportional to 437,229 and 643,338 is: 946,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,229 : 643,338 = 643,338 : x
  2. Step 2: Convert to fraction form
    437,229/643,338 = 643,338/x
  3. Step 3: Cross multiply
    437,229x = 643,338 × 643,338
  4. Step 4: Simplify right side
    437,229x = 413,883,782,244
  5. Step 5: Solve for x
    x = 413,883,782,244/437,229
  6. Step 6: Final answer
    x = 946,606.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.