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Finding the Third Proportional to 15,509 and 22,152

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Solution

The third proportional to 15,509 and 22,152 is: 31,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509 : 22,152 = 22,152 : x
  2. Step 2: Convert to fraction form
    15,509/22,152 = 22,152/x
  3. Step 3: Cross multiply
    15,509x = 22,152 × 22,152
  4. Step 4: Simplify right side
    15,509x = 490,711,104
  5. Step 5: Solve for x
    x = 490,711,104/15,509
  6. Step 6: Final answer
    x = 31,640.41

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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.