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Finding the Third Proportional to 170,719 and 258,426

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Solution

The third proportional to 170,719 and 258,426 is: 391,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,719 : 258,426 = 258,426 : x
  2. Step 2: Convert to fraction form
    170,719/258,426 = 258,426/x
  3. Step 3: Cross multiply
    170,719x = 258,426 × 258,426
  4. Step 4: Simplify right side
    170,719x = 66,783,997,476
  5. Step 5: Solve for x
    x = 66,783,997,476/170,719
  6. Step 6: Final answer
    x = 391,192.53

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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.