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Finding the Third Proportional to 170,612 and 258,268

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Solution

The third proportional to 170,612 and 258,268 is: 390,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,612 : 258,268 = 258,268 : x
  2. Step 2: Convert to fraction form
    170,612/258,268 = 258,268/x
  3. Step 3: Cross multiply
    170,612x = 258,268 × 258,268
  4. Step 4: Simplify right side
    170,612x = 66,702,359,824
  5. Step 5: Solve for x
    x = 66,702,359,824/170,612
  6. Step 6: Final answer
    x = 390,959.37

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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.