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Finding the Third Proportional to 413,266.50 and 638,322.75

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Solution

The third proportional to 413,266.50 and 638,322.75 is: 985,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,266.50 : 638,322.75 = 638,322.75 : x
  2. Step 2: Convert to fraction form
    413,266.50/638,322.75 = 638,322.75/x
  3. Step 3: Cross multiply
    413,266.50x = 638,322.75 × 638,322.75
  4. Step 4: Simplify right side
    413,266.50x = 407,455,933,167.56
  5. Step 5: Solve for x
    x = 407,455,933,167.56/413,266.50
  6. Step 6: Final answer
    x = 985,939.90

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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.