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Finding the Third Proportional to 78,367.50 and 114,270.75

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Solution

The third proportional to 78,367.50 and 114,270.75 is: 166,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 114,270.75 = 114,270.75 : x
  2. Step 2: Convert to fraction form
    78,367.50/114,270.75 = 114,270.75/x
  3. Step 3: Cross multiply
    78,367.50x = 114,270.75 × 114,270.75
  4. Step 4: Simplify right side
    78,367.50x = 13,057,804,305.56
  5. Step 5: Solve for x
    x = 13,057,804,305.56/78,367.50
  6. Step 6: Final answer
    x = 166,622.70

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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.