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Finding the Third Proportional to 166,123.41 and 257,716.69

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Solution

The third proportional to 166,123.41 and 257,716.69 is: 399,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,123.41 : 257,716.69 = 257,716.69 : x
  2. Step 2: Convert to fraction form
    166,123.41/257,716.69 = 257,716.69/x
  3. Step 3: Cross multiply
    166,123.41x = 257,716.69 × 257,716.69
  4. Step 4: Simplify right side
    166,123.41x = 66,417,891,015.97
  5. Step 5: Solve for x
    x = 66,417,891,015.97/166,123.41
  6. Step 6: Final answer
    x = 399,810.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.