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Finding the Third Proportional to 203,423 and 425,435

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Solution

The third proportional to 203,423 and 425,435 is: 889,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423 : 425,435 = 425,435 : x
  2. Step 2: Convert to fraction form
    203,423/425,435 = 425,435/x
  3. Step 3: Cross multiply
    203,423x = 425,435 × 425,435
  4. Step 4: Simplify right side
    203,423x = 180,994,939,225
  5. Step 5: Solve for x
    x = 180,994,939,225/203,423
  6. Step 6: Final answer
    x = 889,746.68

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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.