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Finding the Third Proportional to 78,821 and 115,159

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Solution

The third proportional to 78,821 and 115,159 is: 168,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821 : 115,159 = 115,159 : x
  2. Step 2: Convert to fraction form
    78,821/115,159 = 115,159/x
  3. Step 3: Cross multiply
    78,821x = 115,159 × 115,159
  4. Step 4: Simplify right side
    78,821x = 13,261,595,281
  5. Step 5: Solve for x
    x = 13,261,595,281/78,821
  6. Step 6: Final answer
    x = 168,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.