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Finding the Third Proportional to 18,046 and 26,978

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Solution

The third proportional to 18,046 and 26,978 is: 40,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046 : 26,978 = 26,978 : x
  2. Step 2: Convert to fraction form
    18,046/26,978 = 26,978/x
  3. Step 3: Cross multiply
    18,046x = 26,978 × 26,978
  4. Step 4: Simplify right side
    18,046x = 727,812,484
  5. Step 5: Solve for x
    x = 727,812,484/18,046
  6. Step 6: Final answer
    x = 40,330.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.