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Finding the Third Proportional to 170,057 and 245,831

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Solution

The third proportional to 170,057 and 245,831 is: 355,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,057 : 245,831 = 245,831 : x
  2. Step 2: Convert to fraction form
    170,057/245,831 = 245,831/x
  3. Step 3: Cross multiply
    170,057x = 245,831 × 245,831
  4. Step 4: Simplify right side
    170,057x = 60,432,880,561
  5. Step 5: Solve for x
    x = 60,432,880,561/170,057
  6. Step 6: Final answer
    x = 355,368.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.