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Finding the Third Proportional to 13,689 and 19,561.50

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Solution

The third proportional to 13,689 and 19,561.50 is: 27,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 19,561.50 = 19,561.50 : x
  2. Step 2: Convert to fraction form
    13,689/19,561.50 = 19,561.50/x
  3. Step 3: Cross multiply
    13,689x = 19,561.50 × 19,561.50
  4. Step 4: Simplify right side
    13,689x = 382,652,282.25
  5. Step 5: Solve for x
    x = 382,652,282.25/13,689
  6. Step 6: Final answer
    x = 27,953.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.