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Finding the Third Proportional to 13,689 and 19,895.63

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Solution

The third proportional to 13,689 and 19,895.63 is: 28,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 19,895.63 = 19,895.63 : x
  2. Step 2: Convert to fraction form
    13,689/19,895.63 = 19,895.63/x
  3. Step 3: Cross multiply
    13,689x = 19,895.63 × 19,895.63
  4. Step 4: Simplify right side
    13,689x = 395,835,894.14
  5. Step 5: Solve for x
    x = 395,835,894.14/13,689
  6. Step 6: Final answer
    x = 28,916.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.