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Finding the Third Proportional to 35,379 and 71,964

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Solution

The third proportional to 35,379 and 71,964 is: 146,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,379 : 71,964 = 71,964 : x
  2. Step 2: Convert to fraction form
    35,379/71,964 = 71,964/x
  3. Step 3: Cross multiply
    35,379x = 71,964 × 71,964
  4. Step 4: Simplify right side
    35,379x = 5,178,817,296
  5. Step 5: Solve for x
    x = 5,178,817,296/35,379
  6. Step 6: Final answer
    x = 146,381.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.