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Finding the Third Proportional to 18,681 and 28,925

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Solution

The third proportional to 18,681 and 28,925 is: 44,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681 : 28,925 = 28,925 : x
  2. Step 2: Convert to fraction form
    18,681/28,925 = 28,925/x
  3. Step 3: Cross multiply
    18,681x = 28,925 × 28,925
  4. Step 4: Simplify right side
    18,681x = 836,655,625
  5. Step 5: Solve for x
    x = 836,655,625/18,681
  6. Step 6: Final answer
    x = 44,786.45

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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.