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Finding the Third Proportional to 19,689 and 36,507

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Solution

The third proportional to 19,689 and 36,507 is: 67,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689 : 36,507 = 36,507 : x
  2. Step 2: Convert to fraction form
    19,689/36,507 = 36,507/x
  3. Step 3: Cross multiply
    19,689x = 36,507 × 36,507
  4. Step 4: Simplify right side
    19,689x = 1,332,761,049
  5. Step 5: Solve for x
    x = 1,332,761,049/19,689
  6. Step 6: Final answer
    x = 67,690.64

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.