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Finding the Third Proportional to 74,586 and 115,230

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Solution

The third proportional to 74,586 and 115,230 is: 178,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,586 : 115,230 = 115,230 : x
  2. Step 2: Convert to fraction form
    74,586/115,230 = 115,230/x
  3. Step 3: Cross multiply
    74,586x = 115,230 × 115,230
  4. Step 4: Simplify right side
    74,586x = 13,277,952,900
  5. Step 5: Solve for x
    x = 13,277,952,900/74,586
  6. Step 6: Final answer
    x = 178,022.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.