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Finding the Third Proportional to 65,782 and 102,519

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Solution

The third proportional to 65,782 and 102,519 is: 159,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782 : 102,519 = 102,519 : x
  2. Step 2: Convert to fraction form
    65,782/102,519 = 102,519/x
  3. Step 3: Cross multiply
    65,782x = 102,519 × 102,519
  4. Step 4: Simplify right side
    65,782x = 10,510,145,361
  5. Step 5: Solve for x
    x = 10,510,145,361/65,782
  6. Step 6: Final answer
    x = 159,772.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.