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Finding the Third Proportional to 170,870 and 395,567

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Solution

The third proportional to 170,870 and 395,567 is: 915,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,870 : 395,567 = 395,567 : x
  2. Step 2: Convert to fraction form
    170,870/395,567 = 395,567/x
  3. Step 3: Cross multiply
    170,870x = 395,567 × 395,567
  4. Step 4: Simplify right side
    170,870x = 156,473,251,489
  5. Step 5: Solve for x
    x = 156,473,251,489/170,870
  6. Step 6: Final answer
    x = 915,744.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.