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Finding the Third Proportional to 100,720 and 148,296

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Solution

The third proportional to 100,720 and 148,296 is: 218,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,720 : 148,296 = 148,296 : x
  2. Step 2: Convert to fraction form
    100,720/148,296 = 148,296/x
  3. Step 3: Cross multiply
    100,720x = 148,296 × 148,296
  4. Step 4: Simplify right side
    100,720x = 21,991,703,616
  5. Step 5: Solve for x
    x = 21,991,703,616/100,720
  6. Step 6: Final answer
    x = 218,344.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.