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Finding the Third Proportional to 170,972 and 395,772

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Solution

The third proportional to 170,972 and 395,772 is: 916,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,972 : 395,772 = 395,772 : x
  2. Step 2: Convert to fraction form
    170,972/395,772 = 395,772/x
  3. Step 3: Cross multiply
    170,972x = 395,772 × 395,772
  4. Step 4: Simplify right side
    170,972x = 156,635,475,984
  5. Step 5: Solve for x
    x = 156,635,475,984/170,972
  6. Step 6: Final answer
    x = 916,146.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.