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Finding the Third Proportional to 203,435 and 425,460

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Solution

The third proportional to 203,435 and 425,460 is: 889,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,435 : 425,460 = 425,460 : x
  2. Step 2: Convert to fraction form
    203,435/425,460 = 425,460/x
  3. Step 3: Cross multiply
    203,435x = 425,460 × 425,460
  4. Step 4: Simplify right side
    203,435x = 181,016,211,600
  5. Step 5: Solve for x
    x = 181,016,211,600/203,435
  6. Step 6: Final answer
    x = 889,798.76

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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.