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Finding the Third Proportional to 128,565.75 and 196,112.63

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Solution

The third proportional to 128,565.75 and 196,112.63 is: 299,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,565.75 : 196,112.63 = 196,112.63 : x
  2. Step 2: Convert to fraction form
    128,565.75/196,112.63 = 196,112.63/x
  3. Step 3: Cross multiply
    128,565.75x = 196,112.63 × 196,112.63
  4. Step 4: Simplify right side
    128,565.75x = 38,460,161,684.39
  5. Step 5: Solve for x
    x = 38,460,161,684.39/128,565.75
  6. Step 6: Final answer
    x = 299,147.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.