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Finding the Third Proportional to 84,090.75 and 126,490.50

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Solution

The third proportional to 84,090.75 and 126,490.50 is: 190,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,090.75 : 126,490.50 = 126,490.50 : x
  2. Step 2: Convert to fraction form
    84,090.75/126,490.50 = 126,490.50/x
  3. Step 3: Cross multiply
    84,090.75x = 126,490.50 × 126,490.50
  4. Step 4: Simplify right side
    84,090.75x = 15,999,846,590.25
  5. Step 5: Solve for x
    x = 15,999,846,590.25/84,090.75
  6. Step 6: Final answer
    x = 190,268.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.