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Finding the Third Proportional to 72,120 and 107,578

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Solution

The third proportional to 72,120 and 107,578 is: 160,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,120 : 107,578 = 107,578 : x
  2. Step 2: Convert to fraction form
    72,120/107,578 = 107,578/x
  3. Step 3: Cross multiply
    72,120x = 107,578 × 107,578
  4. Step 4: Simplify right side
    72,120x = 11,573,026,084
  5. Step 5: Solve for x
    x = 11,573,026,084/72,120
  6. Step 6: Final answer
    x = 160,469.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.