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Finding the Third Proportional to 75,772 and 115,964

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Solution

The third proportional to 75,772 and 115,964 is: 177,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,772 : 115,964 = 115,964 : x
  2. Step 2: Convert to fraction form
    75,772/115,964 = 115,964/x
  3. Step 3: Cross multiply
    75,772x = 115,964 × 115,964
  4. Step 4: Simplify right side
    75,772x = 13,447,649,296
  5. Step 5: Solve for x
    x = 13,447,649,296/75,772
  6. Step 6: Final answer
    x = 177,475.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.