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Finding the Third Proportional to 14,609.50 and 21,689

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Solution

The third proportional to 14,609.50 and 21,689 is: 32,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.50 : 21,689 = 21,689 : x
  2. Step 2: Convert to fraction form
    14,609.50/21,689 = 21,689/x
  3. Step 3: Cross multiply
    14,609.50x = 21,689 × 21,689
  4. Step 4: Simplify right side
    14,609.50x = 470,412,721
  5. Step 5: Solve for x
    x = 470,412,721/14,609.50
  6. Step 6: Final answer
    x = 32,199.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.