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Finding the Third Proportional to 171,888 and 257,913

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Solution

The third proportional to 171,888 and 257,913 is: 386,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,888 : 257,913 = 257,913 : x
  2. Step 2: Convert to fraction form
    171,888/257,913 = 257,913/x
  3. Step 3: Cross multiply
    171,888x = 257,913 × 257,913
  4. Step 4: Simplify right side
    171,888x = 66,519,115,569
  5. Step 5: Solve for x
    x = 66,519,115,569/171,888
  6. Step 6: Final answer
    x = 386,991.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.