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Finding the Third Proportional to 15,409.50 and 22,020

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Solution

The third proportional to 15,409.50 and 22,020 is: 31,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.50 : 22,020 = 22,020 : x
  2. Step 2: Convert to fraction form
    15,409.50/22,020 = 22,020/x
  3. Step 3: Cross multiply
    15,409.50x = 22,020 × 22,020
  4. Step 4: Simplify right side
    15,409.50x = 484,880,400
  5. Step 5: Solve for x
    x = 484,880,400/15,409.50
  6. Step 6: Final answer
    x = 31,466.33

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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.