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Finding the Third Proportional to 18,678 and 28,506

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Solution

The third proportional to 18,678 and 28,506 is: 43,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 28,506 = 28,506 : x
  2. Step 2: Convert to fraction form
    18,678/28,506 = 28,506/x
  3. Step 3: Cross multiply
    18,678x = 28,506 × 28,506
  4. Step 4: Simplify right side
    18,678x = 812,592,036
  5. Step 5: Solve for x
    x = 812,592,036/18,678
  6. Step 6: Final answer
    x = 43,505.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.