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Finding the Third Proportional to 170,610 and 258,265

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Solution

The third proportional to 170,610 and 258,265 is: 390,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,610 : 258,265 = 258,265 : x
  2. Step 2: Convert to fraction form
    170,610/258,265 = 258,265/x
  3. Step 3: Cross multiply
    170,610x = 258,265 × 258,265
  4. Step 4: Simplify right side
    170,610x = 66,700,810,225
  5. Step 5: Solve for x
    x = 66,700,810,225/170,610
  6. Step 6: Final answer
    x = 390,954.87

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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.