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Finding the Third Proportional to 131,769 and 318,465

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Solution

The third proportional to 131,769 and 318,465 is: 769,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,769 : 318,465 = 318,465 : x
  2. Step 2: Convert to fraction form
    131,769/318,465 = 318,465/x
  3. Step 3: Cross multiply
    131,769x = 318,465 × 318,465
  4. Step 4: Simplify right side
    131,769x = 101,419,956,225
  5. Step 5: Solve for x
    x = 101,419,956,225/131,769
  6. Step 6: Final answer
    x = 769,679.94

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.