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Finding the Third Proportional to 170,497 and 258,115

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Solution

The third proportional to 170,497 and 258,115 is: 390,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,497 : 258,115 = 258,115 : x
  2. Step 2: Convert to fraction form
    170,497/258,115 = 258,115/x
  3. Step 3: Cross multiply
    170,497x = 258,115 × 258,115
  4. Step 4: Simplify right side
    170,497x = 66,623,353,225
  5. Step 5: Solve for x
    x = 66,623,353,225/170,497
  6. Step 6: Final answer
    x = 390,759.68

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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.