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Finding the Third Proportional to 413,172 and 637,983

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Solution

The third proportional to 413,172 and 637,983 is: 985,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,172 : 637,983 = 637,983 : x
  2. Step 2: Convert to fraction form
    413,172/637,983 = 637,983/x
  3. Step 3: Cross multiply
    413,172x = 637,983 × 637,983
  4. Step 4: Simplify right side
    413,172x = 407,022,308,289
  5. Step 5: Solve for x
    x = 407,022,308,289/413,172
  6. Step 6: Final answer
    x = 985,115.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.