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Finding the Third Proportional to 279,936 and 425,088

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Solution

The third proportional to 279,936 and 425,088 is: 645,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936 : 425,088 = 425,088 : x
  2. Step 2: Convert to fraction form
    279,936/425,088 = 425,088/x
  3. Step 3: Cross multiply
    279,936x = 425,088 × 425,088
  4. Step 4: Simplify right side
    279,936x = 180,699,807,744
  5. Step 5: Solve for x
    x = 180,699,807,744/279,936
  6. Step 6: Final answer
    x = 645,504

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.