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Finding the Third Proportional to 15,309.50 and 21,669

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Solution

The third proportional to 15,309.50 and 21,669 is: 30,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.50 : 21,669 = 21,669 : x
  2. Step 2: Convert to fraction form
    15,309.50/21,669 = 21,669/x
  3. Step 3: Cross multiply
    15,309.50x = 21,669 × 21,669
  4. Step 4: Simplify right side
    15,309.50x = 469,545,561
  5. Step 5: Solve for x
    x = 469,545,561/15,309.50
  6. Step 6: Final answer
    x = 30,670.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.