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Finding the Third Proportional to 102,780 and 153,474

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Solution

The third proportional to 102,780 and 153,474 is: 229,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780 : 153,474 = 153,474 : x
  2. Step 2: Convert to fraction form
    102,780/153,474 = 153,474/x
  3. Step 3: Cross multiply
    102,780x = 153,474 × 153,474
  4. Step 4: Simplify right side
    102,780x = 23,554,268,676
  5. Step 5: Solve for x
    x = 23,554,268,676/102,780
  6. Step 6: Final answer
    x = 229,171.71

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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.