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Finding the Third Proportional to 127,152.38 and 192,365.25

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Solution

The third proportional to 127,152.38 and 192,365.25 is: 291,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,152.38 : 192,365.25 = 192,365.25 : x
  2. Step 2: Convert to fraction form
    127,152.38/192,365.25 = 192,365.25/x
  3. Step 3: Cross multiply
    127,152.38x = 192,365.25 × 192,365.25
  4. Step 4: Simplify right side
    127,152.38x = 37,004,389,407.56
  5. Step 5: Solve for x
    x = 37,004,389,407.56/127,152.38
  6. Step 6: Final answer
    x = 291,023.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.