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Finding the Third Proportional to 66,564 and 99,876

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Solution

The third proportional to 66,564 and 99,876 is: 149,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,564 : 99,876 = 99,876 : x
  2. Step 2: Convert to fraction form
    66,564/99,876 = 99,876/x
  3. Step 3: Cross multiply
    66,564x = 99,876 × 99,876
  4. Step 4: Simplify right side
    66,564x = 9,975,215,376
  5. Step 5: Solve for x
    x = 9,975,215,376/66,564
  6. Step 6: Final answer
    x = 149,859.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.