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Finding the Third Proportional to 66,357 and 102,757

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Solution

The third proportional to 66,357 and 102,757 is: 159,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,357 : 102,757 = 102,757 : x
  2. Step 2: Convert to fraction form
    66,357/102,757 = 102,757/x
  3. Step 3: Cross multiply
    66,357x = 102,757 × 102,757
  4. Step 4: Simplify right side
    66,357x = 10,559,001,049
  5. Step 5: Solve for x
    x = 10,559,001,049/66,357
  6. Step 6: Final answer
    x = 159,124.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.