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Finding the Third Proportional to 105,288 and 136,604

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Solution

The third proportional to 105,288 and 136,604 is: 177,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,288 : 136,604 = 136,604 : x
  2. Step 2: Convert to fraction form
    105,288/136,604 = 136,604/x
  3. Step 3: Cross multiply
    105,288x = 136,604 × 136,604
  4. Step 4: Simplify right side
    105,288x = 18,660,652,816
  5. Step 5: Solve for x
    x = 18,660,652,816/105,288
  6. Step 6: Final answer
    x = 177,234.37

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.