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Finding the Third Proportional to 171,517.50 and 455,265.56

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Solution

The third proportional to 171,517.50 and 455,265.56 is: 1,208,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,517.50 : 455,265.56 = 455,265.56 : x
  2. Step 2: Convert to fraction form
    171,517.50/455,265.56 = 455,265.56/x
  3. Step 3: Cross multiply
    171,517.50x = 455,265.56 × 455,265.56
  4. Step 4: Simplify right side
    171,517.50x = 207,266,732,398.44
  5. Step 5: Solve for x
    x = 207,266,732,398.44/171,517.50
  6. Step 6: Final answer
    x = 1,208,429.07

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.