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Finding the Third Proportional to 78,375 and 114,279

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Solution

The third proportional to 78,375 and 114,279 is: 166,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375 : 114,279 = 114,279 : x
  2. Step 2: Convert to fraction form
    78,375/114,279 = 114,279/x
  3. Step 3: Cross multiply
    78,375x = 114,279 × 114,279
  4. Step 4: Simplify right side
    78,375x = 13,059,689,841
  5. Step 5: Solve for x
    x = 13,059,689,841/78,375
  6. Step 6: Final answer
    x = 166,630.81

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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.