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Finding the Third Proportional to 35,190 and 54,945

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Solution

The third proportional to 35,190 and 54,945 is: 85,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,190 : 54,945 = 54,945 : x
  2. Step 2: Convert to fraction form
    35,190/54,945 = 54,945/x
  3. Step 3: Cross multiply
    35,190x = 54,945 × 54,945
  4. Step 4: Simplify right side
    35,190x = 3,018,953,025
  5. Step 5: Solve for x
    x = 3,018,953,025/35,190
  6. Step 6: Final answer
    x = 85,790.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.