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Finding the Third Proportional to 274,155 and 634,629.75

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Solution

The third proportional to 274,155 and 634,629.75 is: 1,469,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,155 : 634,629.75 = 634,629.75 : x
  2. Step 2: Convert to fraction form
    274,155/634,629.75 = 634,629.75/x
  3. Step 3: Cross multiply
    274,155x = 634,629.75 × 634,629.75
  4. Step 4: Simplify right side
    274,155x = 402,754,919,585.06
  5. Step 5: Solve for x
    x = 402,754,919,585.06/274,155
  6. Step 6: Final answer
    x = 1,469,077.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.