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Finding the Third Proportional to 38,178 and 57,090

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Solution

The third proportional to 38,178 and 57,090 is: 85,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 57,090 = 57,090 : x
  2. Step 2: Convert to fraction form
    38,178/57,090 = 57,090/x
  3. Step 3: Cross multiply
    38,178x = 57,090 × 57,090
  4. Step 4: Simplify right side
    38,178x = 3,259,268,100
  5. Step 5: Solve for x
    x = 3,259,268,100/38,178
  6. Step 6: Final answer
    x = 85,370.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.