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Finding the Third Proportional to 203,425 and 425,440

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Solution

The third proportional to 203,425 and 425,440 is: 889,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,425 : 425,440 = 425,440 : x
  2. Step 2: Convert to fraction form
    203,425/425,440 = 425,440/x
  3. Step 3: Cross multiply
    203,425x = 425,440 × 425,440
  4. Step 4: Simplify right side
    203,425x = 180,999,193,600
  5. Step 5: Solve for x
    x = 180,999,193,600/203,425
  6. Step 6: Final answer
    x = 889,758.85

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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.