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Finding the Third Proportional to 171,807.75 and 261,356.63

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Solution

The third proportional to 171,807.75 and 261,356.63 is: 397,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,807.75 : 261,356.63 = 261,356.63 : x
  2. Step 2: Convert to fraction form
    171,807.75/261,356.63 = 261,356.63/x
  3. Step 3: Cross multiply
    171,807.75x = 261,356.63 × 261,356.63
  4. Step 4: Simplify right side
    171,807.75x = 68,307,285,431.39
  5. Step 5: Solve for x
    x = 68,307,285,431.39/171,807.75
  6. Step 6: Final answer
    x = 397,579.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.