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Finding the Third Proportional to 74,485.50 and 170,174.25

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Solution

The third proportional to 74,485.50 and 170,174.25 is: 388,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,485.50 : 170,174.25 = 170,174.25 : x
  2. Step 2: Convert to fraction form
    74,485.50/170,174.25 = 170,174.25/x
  3. Step 3: Cross multiply
    74,485.50x = 170,174.25 × 170,174.25
  4. Step 4: Simplify right side
    74,485.50x = 28,959,275,363.06
  5. Step 5: Solve for x
    x = 28,959,275,363.06/74,485.50
  6. Step 6: Final answer
    x = 388,790.78

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.