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Finding the Third Proportional to 10,980 and 18,312.75

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Solution

The third proportional to 10,980 and 18,312.75 is: 30,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980 : 18,312.75 = 18,312.75 : x
  2. Step 2: Convert to fraction form
    10,980/18,312.75 = 18,312.75/x
  3. Step 3: Cross multiply
    10,980x = 18,312.75 × 18,312.75
  4. Step 4: Simplify right side
    10,980x = 335,356,812.56
  5. Step 5: Solve for x
    x = 335,356,812.56/10,980
  6. Step 6: Final answer
    x = 30,542.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.