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Finding the Third Proportional to 17,123.70 and 26,868.80

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Solution

The third proportional to 17,123.70 and 26,868.80 is: 42,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.70 : 26,868.80 = 26,868.80 : x
  2. Step 2: Convert to fraction form
    17,123.70/26,868.80 = 26,868.80/x
  3. Step 3: Cross multiply
    17,123.70x = 26,868.80 × 26,868.80
  4. Step 4: Simplify right side
    17,123.70x = 721,932,245.51
  5. Step 5: Solve for x
    x = 721,932,245.51/17,123.70
  6. Step 6: Final answer
    x = 42,159.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.