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Finding the Third Proportional to 85,106 and 129,963

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Solution

The third proportional to 85,106 and 129,963 is: 198,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,106 : 129,963 = 129,963 : x
  2. Step 2: Convert to fraction form
    85,106/129,963 = 129,963/x
  3. Step 3: Cross multiply
    85,106x = 129,963 × 129,963
  4. Step 4: Simplify right side
    85,106x = 16,890,381,369
  5. Step 5: Solve for x
    x = 16,890,381,369/85,106
  6. Step 6: Final answer
    x = 198,462.87

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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.