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Finding the Third Proportional to 133,126 and 289,579

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Solution

The third proportional to 133,126 and 289,579 is: 629,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,126 : 289,579 = 289,579 : x
  2. Step 2: Convert to fraction form
    133,126/289,579 = 289,579/x
  3. Step 3: Cross multiply
    133,126x = 289,579 × 289,579
  4. Step 4: Simplify right side
    133,126x = 83,855,997,241
  5. Step 5: Solve for x
    x = 83,855,997,241/133,126
  6. Step 6: Final answer
    x = 629,899.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.