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Finding the Third Proportional to 14,209.88 and 20,689.88

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Solution

The third proportional to 14,209.88 and 20,689.88 is: 30,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.88 : 20,689.88 = 20,689.88 : x
  2. Step 2: Convert to fraction form
    14,209.88/20,689.88 = 20,689.88/x
  3. Step 3: Cross multiply
    14,209.88x = 20,689.88 × 20,689.88
  4. Step 4: Simplify right side
    14,209.88x = 428,070,927.52
  5. Step 5: Solve for x
    x = 428,070,927.52/14,209.88
  6. Step 6: Final answer
    x = 30,124.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.