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Finding the Third Proportional to 30,996 and 45,054

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Solution

The third proportional to 30,996 and 45,054 is: 65,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 45,054 = 45,054 : x
  2. Step 2: Convert to fraction form
    30,996/45,054 = 45,054/x
  3. Step 3: Cross multiply
    30,996x = 45,054 × 45,054
  4. Step 4: Simplify right side
    30,996x = 2,029,862,916
  5. Step 5: Solve for x
    x = 2,029,862,916/30,996
  6. Step 6: Final answer
    x = 65,487.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.