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Finding the Third Proportional to 18,485 and 28,442

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Solution

The third proportional to 18,485 and 28,442 is: 43,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,485 : 28,442 = 28,442 : x
  2. Step 2: Convert to fraction form
    18,485/28,442 = 28,442/x
  3. Step 3: Cross multiply
    18,485x = 28,442 × 28,442
  4. Step 4: Simplify right side
    18,485x = 808,947,364
  5. Step 5: Solve for x
    x = 808,947,364/18,485
  6. Step 6: Final answer
    x = 43,762.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.