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Finding the Third Proportional to 18,468 and 28,642

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Solution

The third proportional to 18,468 and 28,642 is: 44,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 28,642 = 28,642 : x
  2. Step 2: Convert to fraction form
    18,468/28,642 = 28,642/x
  3. Step 3: Cross multiply
    18,468x = 28,642 × 28,642
  4. Step 4: Simplify right side
    18,468x = 820,364,164
  5. Step 5: Solve for x
    x = 820,364,164/18,468
  6. Step 6: Final answer
    x = 44,420.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.