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Finding the Third Proportional to 170,512 and 258,135

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Solution

The third proportional to 170,512 and 258,135 is: 390,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,512 : 258,135 = 258,135 : x
  2. Step 2: Convert to fraction form
    170,512/258,135 = 258,135/x
  3. Step 3: Cross multiply
    170,512x = 258,135 × 258,135
  4. Step 4: Simplify right side
    170,512x = 66,633,678,225
  5. Step 5: Solve for x
    x = 66,633,678,225/170,512
  6. Step 6: Final answer
    x = 390,785.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.