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Finding the Third Proportional to 203,421 and 425,431

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Solution

The third proportional to 203,421 and 425,431 is: 889,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,421 : 425,431 = 425,431 : x
  2. Step 2: Convert to fraction form
    203,421/425,431 = 425,431/x
  3. Step 3: Cross multiply
    203,421x = 425,431 × 425,431
  4. Step 4: Simplify right side
    203,421x = 180,991,535,761
  5. Step 5: Solve for x
    x = 180,991,535,761/203,421
  6. Step 6: Final answer
    x = 889,738.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.